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Finding the Fourth Proportional to 102,681.92, 153,956.46 and 67,514.96

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Solution

The fourth proportional to 102,681.92, 153,956.46 and 67,514.96 is: 101,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681.92 : 153,956.46 = 67,514.96 : x
  2. Step 2: Convert to fraction form
    102,681.92/153,956.46 = 67,514.96/x
  3. Step 3: Cross multiply
    102,681.92x = 153,956.46 × 67,514.96
  4. Step 4: Simplify right side
    102,681.92x = 10,394,364,238.64
  5. Step 5: Solve for x
    x = 10,394,364,238.64/102,681.92
  6. Step 6: Final answer
    x = 101,228.77

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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.