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Finding the Fourth Proportional to 77,358.71, 106,754.89 and 47,144.15

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Solution

The fourth proportional to 77,358.71, 106,754.89 and 47,144.15 is: 65,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.71 : 106,754.89 = 47,144.15 : x
  2. Step 2: Convert to fraction form
    77,358.71/106,754.89 = 47,144.15/x
  3. Step 3: Cross multiply
    77,358.71x = 106,754.89 × 47,144.15
  4. Step 4: Simplify right side
    77,358.71x = 5,032,868,547.39
  5. Step 5: Solve for x
    x = 5,032,868,547.39/77,358.71
  6. Step 6: Final answer
    x = 65,058.85

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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.