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Finding the Fourth Proportional to 103,397.82, 142,652.66 and 67,608.78

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Solution

The fourth proportional to 103,397.82, 142,652.66 and 67,608.78 is: 93,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,397.82 : 142,652.66 = 67,608.78 : x
  2. Step 2: Convert to fraction form
    103,397.82/142,652.66 = 67,608.78/x
  3. Step 3: Cross multiply
    103,397.82x = 142,652.66 × 67,608.78
  4. Step 4: Simplify right side
    103,397.82x = 9,644,571,968.31
  5. Step 5: Solve for x
    x = 9,644,571,968.31/103,397.82
  6. Step 6: Final answer
    x = 93,276.36

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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.