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Finding the Fourth Proportional to 151,471.92, 209,030.30 and 82,561.32

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Solution

The fourth proportional to 151,471.92, 209,030.30 and 82,561.32 is: 113,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471.92 : 209,030.30 = 82,561.32 : x
  2. Step 2: Convert to fraction form
    151,471.92/209,030.30 = 82,561.32/x
  3. Step 3: Cross multiply
    151,471.92x = 209,030.30 × 82,561.32
  4. Step 4: Simplify right side
    151,471.92x = 17,257,817,488.00
  5. Step 5: Solve for x
    x = 17,257,817,488.00/151,471.92
  6. Step 6: Final answer
    x = 113,934.10

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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.