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Finding the Fourth Proportional to 172,438.27, 258,657.50 and 47,779.27

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Solution

The fourth proportional to 172,438.27, 258,657.50 and 47,779.27 is: 71,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438.27 : 258,657.50 = 47,779.27 : x
  2. Step 2: Convert to fraction form
    172,438.27/258,657.50 = 47,779.27/x
  3. Step 3: Cross multiply
    172,438.27x = 258,657.50 × 47,779.27
  4. Step 4: Simplify right side
    172,438.27x = 12,358,466,002.83
  5. Step 5: Solve for x
    x = 12,358,466,002.83/172,438.27
  6. Step 6: Final answer
    x = 71,668.93

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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.