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Finding the Fourth Proportional to 78,568.34, 108,424.59 and 42,758.78

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Solution

The fourth proportional to 78,568.34, 108,424.59 and 42,758.78 is: 59,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.34 : 108,424.59 = 42,758.78 : x
  2. Step 2: Convert to fraction form
    78,568.34/108,424.59 = 42,758.78/x
  3. Step 3: Cross multiply
    78,568.34x = 108,424.59 × 42,758.78
  4. Step 4: Simplify right side
    78,568.34x = 4,636,103,190.40
  5. Step 5: Solve for x
    x = 4,636,103,190.40/78,568.34
  6. Step 6: Final answer
    x = 59,007.27

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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.