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Finding the Fourth Proportional to 77,472.50, 106,930.29 and 47,282.78

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Solution

The fourth proportional to 77,472.50, 106,930.29 and 47,282.78 is: 65,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,472.50 : 106,930.29 = 47,282.78 : x
  2. Step 2: Convert to fraction form
    77,472.50/106,930.29 = 47,282.78/x
  3. Step 3: Cross multiply
    77,472.50x = 106,930.29 × 47,282.78
  4. Step 4: Simplify right side
    77,472.50x = 5,055,961,377.41
  5. Step 5: Solve for x
    x = 5,055,961,377.41/77,472.50
  6. Step 6: Final answer
    x = 65,261.37

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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.