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Finding the Fourth Proportional to 103,543.14, 155,318.16 and 28,657.02

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Solution

The fourth proportional to 103,543.14, 155,318.16 and 28,657.02 is: 42,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.14 : 155,318.16 = 28,657.02 : x
  2. Step 2: Convert to fraction form
    103,543.14/155,318.16 = 28,657.02/x
  3. Step 3: Cross multiply
    103,543.14x = 155,318.16 × 28,657.02
  4. Step 4: Simplify right side
    103,543.14x = 4,450,955,617.48
  5. Step 5: Solve for x
    x = 4,450,955,617.48/103,543.14
  6. Step 6: Final answer
    x = 42,986.48

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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.