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Finding the Fourth Proportional to 157,939, 236,949.54 and 47,131

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Solution

The fourth proportional to 157,939, 236,949.54 and 47,131 is: 70,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,939 : 236,949.54 = 47,131 : x
  2. Step 2: Convert to fraction form
    157,939/236,949.54 = 47,131/x
  3. Step 3: Cross multiply
    157,939x = 236,949.54 × 47,131
  4. Step 4: Simplify right side
    157,939x = 11,167,668,769.74
  5. Step 5: Solve for x
    x = 11,167,668,769.74/157,939
  6. Step 6: Final answer
    x = 70,708.75

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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.