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Finding the Fourth Proportional to 172,155.48, 258,248.10 and 47,496.48

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Solution

The fourth proportional to 172,155.48, 258,248.10 and 47,496.48 is: 71,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,155.48 : 258,248.10 = 47,496.48 : x
  2. Step 2: Convert to fraction form
    172,155.48/258,248.10 = 47,496.48/x
  3. Step 3: Cross multiply
    172,155.48x = 258,248.10 × 47,496.48
  4. Step 4: Simplify right side
    172,155.48x = 12,265,875,716.69
  5. Step 5: Solve for x
    x = 12,265,875,716.69/172,155.48
  6. Step 6: Final answer
    x = 71,248.83

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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.