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Finding the Fourth Proportional to 151,425.80, 208,976.90 and 83,442.74

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Solution

The fourth proportional to 151,425.80, 208,976.90 and 83,442.74 is: 115,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,425.80 : 208,976.90 = 83,442.74 : x
  2. Step 2: Convert to fraction form
    151,425.80/208,976.90 = 83,442.74/x
  3. Step 3: Cross multiply
    151,425.80x = 208,976.90 × 83,442.74
  4. Step 4: Simplify right side
    151,425.80x = 17,437,605,132.71
  5. Step 5: Solve for x
    x = 17,437,605,132.71/151,425.80
  6. Step 6: Final answer
    x = 115,156.10

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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.