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Finding the Fourth Proportional to 77,357.71, 106,753.51 and 47,143.15

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Solution

The fourth proportional to 77,357.71, 106,753.51 and 47,143.15 is: 65,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.71 : 106,753.51 = 47,143.15 : x
  2. Step 2: Convert to fraction form
    77,357.71/106,753.51 = 47,143.15/x
  3. Step 3: Cross multiply
    77,357.71x = 106,753.51 × 47,143.15
  4. Step 4: Simplify right side
    77,357.71x = 5,032,696,734.96
  5. Step 5: Solve for x
    x = 5,032,696,734.96/77,357.71
  6. Step 6: Final answer
    x = 65,057.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.