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Finding the Fourth Proportional to 78,569.78, 108,424.22 and 42,759.03

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Solution

The fourth proportional to 78,569.78, 108,424.22 and 42,759.03 is: 59,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,569.78 : 108,424.22 = 42,759.03 : x
  2. Step 2: Convert to fraction form
    78,569.78/108,424.22 = 42,759.03/x
  3. Step 3: Cross multiply
    78,569.78x = 108,424.22 × 42,759.03
  4. Step 4: Simplify right side
    78,569.78x = 4,636,114,475.71
  5. Step 5: Solve for x
    x = 4,636,114,475.71/78,569.78
  6. Step 6: Final answer
    x = 59,006.33

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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.