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Finding the Fourth Proportional to 77,776, 107,330.88 and 42,448

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Solution

The fourth proportional to 77,776, 107,330.88 and 42,448 is: 58,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776 : 107,330.88 = 42,448 : x
  2. Step 2: Convert to fraction form
    77,776/107,330.88 = 42,448/x
  3. Step 3: Cross multiply
    77,776x = 107,330.88 × 42,448
  4. Step 4: Simplify right side
    77,776x = 4,555,981,194.24
  5. Step 5: Solve for x
    x = 4,555,981,194.24/77,776
  6. Step 6: Final answer
    x = 58,578.24

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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.