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Finding the Fourth Proportional to 151,272.95, 208,761.64 and 83,294.91

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Solution

The fourth proportional to 151,272.95, 208,761.64 and 83,294.91 is: 114,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,272.95 : 208,761.64 = 83,294.91 : x
  2. Step 2: Convert to fraction form
    151,272.95/208,761.64 = 83,294.91/x
  3. Step 3: Cross multiply
    151,272.95x = 208,761.64 × 83,294.91
  4. Step 4: Simplify right side
    151,272.95x = 17,388,781,807.02
  5. Step 5: Solve for x
    x = 17,388,781,807.02/151,272.95
  6. Step 6: Final answer
    x = 114,949.71

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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.