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Finding the Fourth Proportional to 77,219.80, 115,829.70 and 47,541.40

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Solution

The fourth proportional to 77,219.80, 115,829.70 and 47,541.40 is: 71,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,219.80 : 115,829.70 = 47,541.40 : x
  2. Step 2: Convert to fraction form
    77,219.80/115,829.70 = 47,541.40/x
  3. Step 3: Cross multiply
    77,219.80x = 115,829.70 × 47,541.40
  4. Step 4: Simplify right side
    77,219.80x = 5,506,706,099.58
  5. Step 5: Solve for x
    x = 5,506,706,099.58/77,219.80
  6. Step 6: Final answer
    x = 71,312.10

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1.5x scale

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.