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Finding the Fourth Proportional to 103,098, 142,275.51 and 60,103.02

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Solution

The fourth proportional to 103,098, 142,275.51 and 60,103.02 is: 82,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,098 : 142,275.51 = 60,103.02 : x
  2. Step 2: Convert to fraction form
    103,098/142,275.51 = 60,103.02/x
  3. Step 3: Cross multiply
    103,098x = 142,275.51 × 60,103.02
  4. Step 4: Simplify right side
    103,098x = 8,551,187,823.04
  5. Step 5: Solve for x
    x = 8,551,187,823.04/103,098
  6. Step 6: Final answer
    x = 82,942.33

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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.