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Finding the Fourth Proportional to 153,686.92, 230,504.46 and 42,853

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Solution

The fourth proportional to 153,686.92, 230,504.46 and 42,853 is: 64,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,686.92 : 230,504.46 = 42,853 : x
  2. Step 2: Convert to fraction form
    153,686.92/230,504.46 = 42,853/x
  3. Step 3: Cross multiply
    153,686.92x = 230,504.46 × 42,853
  4. Step 4: Simplify right side
    153,686.92x = 9,877,807,624.38
  5. Step 5: Solve for x
    x = 9,877,807,624.38/153,686.92
  6. Step 6: Final answer
    x = 64,272.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.