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Finding the Fourth Proportional to 77,384, 106,789.92 and 45,572.60

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Solution

The fourth proportional to 77,384, 106,789.92 and 45,572.60 is: 62,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384 : 106,789.92 = 45,572.60 : x
  2. Step 2: Convert to fraction form
    77,384/106,789.92 = 45,572.60/x
  3. Step 3: Cross multiply
    77,384x = 106,789.92 × 45,572.60
  4. Step 4: Simplify right side
    77,384x = 4,866,694,308.19
  5. Step 5: Solve for x
    x = 4,866,694,308.19/77,384
  6. Step 6: Final answer
    x = 62,890.19

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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.