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Finding the Fourth Proportional to 231,700.50, 319,751.55 and 131,098.50

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Solution

The fourth proportional to 231,700.50, 319,751.55 and 131,098.50 is: 180,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,700.50 : 319,751.55 = 131,098.50 : x
  2. Step 2: Convert to fraction form
    231,700.50/319,751.55 = 131,098.50/x
  3. Step 3: Cross multiply
    231,700.50x = 319,751.55 × 131,098.50
  4. Step 4: Simplify right side
    231,700.50x = 41,918,948,577.68
  5. Step 5: Solve for x
    x = 41,918,948,577.68/231,700.50
  6. Step 6: Final answer
    x = 180,918.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.