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Finding the Fourth Proportional to 172,243, 258,365.58 and 47,585.08

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Solution

The fourth proportional to 172,243, 258,365.58 and 47,585.08 is: 71,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,243 : 258,365.58 = 47,585.08 : x
  2. Step 2: Convert to fraction form
    172,243/258,365.58 = 47,585.08/x
  3. Step 3: Cross multiply
    172,243x = 258,365.58 × 47,585.08
  4. Step 4: Simplify right side
    172,243x = 12,294,346,793.55
  5. Step 5: Solve for x
    x = 12,294,346,793.55/172,243
  6. Step 6: Final answer
    x = 71,377.92

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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.