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Finding the Fourth Proportional to 103,658.46, 155,299.06 and 72,001.64

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Solution

The fourth proportional to 103,658.46, 155,299.06 and 72,001.64 is: 107,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.46 : 155,299.06 = 72,001.64 : x
  2. Step 2: Convert to fraction form
    103,658.46/155,299.06 = 72,001.64/x
  3. Step 3: Cross multiply
    103,658.46x = 155,299.06 × 72,001.64
  4. Step 4: Simplify right side
    103,658.46x = 11,181,786,053.96
  5. Step 5: Solve for x
    x = 11,181,786,053.96/103,658.46
  6. Step 6: Final answer
    x = 107,871.43

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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.