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Finding the Fourth Proportional to 103,688,657.80, 155,532,986.70 and 65,225,451.40

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Solution

The fourth proportional to 103,688,657.80, 155,532,986.70 and 65,225,451.40 is: 97,838,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688,657.80 : 155,532,986.70 = 65,225,451.40 : x
  2. Step 2: Convert to fraction form
    103,688,657.80/155,532,986.70 = 65,225,451.40/x
  3. Step 3: Cross multiply
    103,688,657.80x = 155,532,986.70 × 65,225,451.40
  4. Step 4: Simplify right side
    103,688,657.80x = 10,144,709,265,097,696
  5. Step 5: Solve for x
    x = 10,144,709,265,097,696/103,688,657.80
  6. Step 6: Final answer
    x = 97,838,177.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.