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Finding the Fourth Proportional to 151,493.61, 209,052.30 and 86,947.95

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Solution

The fourth proportional to 151,493.61, 209,052.30 and 86,947.95 is: 119,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,493.61 : 209,052.30 = 86,947.95 : x
  2. Step 2: Convert to fraction form
    151,493.61/209,052.30 = 86,947.95/x
  3. Step 3: Cross multiply
    151,493.61x = 209,052.30 × 86,947.95
  4. Step 4: Simplify right side
    151,493.61x = 18,176,668,927.79
  5. Step 5: Solve for x
    x = 18,176,668,927.79/151,493.61
  6. Step 6: Final answer
    x = 119,983.07

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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.