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Finding the Fourth Proportional to 77,792, 107,352.96 and 42,464

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Solution

The fourth proportional to 77,792, 107,352.96 and 42,464 is: 58,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792 : 107,352.96 = 42,464 : x
  2. Step 2: Convert to fraction form
    77,792/107,352.96 = 42,464/x
  3. Step 3: Cross multiply
    77,792x = 107,352.96 × 42,464
  4. Step 4: Simplify right side
    77,792x = 4,558,636,093.44
  5. Step 5: Solve for x
    x = 4,558,636,093.44/77,792
  6. Step 6: Final answer
    x = 58,600.32

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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.