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Finding the Fourth Proportional to 151,470.53, 209,030.66 and 83,489.91

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Solution

The fourth proportional to 151,470.53, 209,030.66 and 83,489.91 is: 115,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,470.53 : 209,030.66 = 83,489.91 : x
  2. Step 2: Convert to fraction form
    151,470.53/209,030.66 = 83,489.91/x
  3. Step 3: Cross multiply
    151,470.53x = 209,030.66 × 83,489.91
  4. Step 4: Simplify right side
    151,470.53x = 17,451,950,990.64
  5. Step 5: Solve for x
    x = 17,451,950,990.64/151,470.53
  6. Step 6: Final answer
    x = 115,216.81

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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.