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Finding the Fourth Proportional to 103,564.80, 142,843.68 and 67,697.28

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Solution

The fourth proportional to 103,564.80, 142,843.68 and 67,697.28 is: 93,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564.80 : 142,843.68 = 67,697.28 : x
  2. Step 2: Convert to fraction form
    103,564.80/142,843.68 = 67,697.28/x
  3. Step 3: Cross multiply
    103,564.80x = 142,843.68 × 67,697.28
  4. Step 4: Simplify right side
    103,564.80x = 9,670,128,601.19
  5. Step 5: Solve for x
    x = 9,670,128,601.19/103,564.80
  6. Step 6: Final answer
    x = 93,372.73

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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.