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Finding the Fourth Proportional to 172,439.78, 258,659.76 and 47,780.78

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Solution

The fourth proportional to 172,439.78, 258,659.76 and 47,780.78 is: 71,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,439.78 : 258,659.76 = 47,780.78 : x
  2. Step 2: Convert to fraction form
    172,439.78/258,659.76 = 47,780.78/x
  3. Step 3: Cross multiply
    172,439.78x = 258,659.76 × 47,780.78
  4. Step 4: Simplify right side
    172,439.78x = 12,358,963,794.11
  5. Step 5: Solve for x
    x = 12,358,963,794.11/172,439.78
  6. Step 6: Final answer
    x = 71,671.19

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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.