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Finding the Fourth Proportional to 257,760.75, 386,123.76 and 131,395.89

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Solution

The fourth proportional to 257,760.75, 386,123.76 and 131,395.89 is: 196,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,760.75 : 386,123.76 = 131,395.89 : x
  2. Step 2: Convert to fraction form
    257,760.75/386,123.76 = 131,395.89/x
  3. Step 3: Cross multiply
    257,760.75x = 386,123.76 × 131,395.89
  4. Step 4: Simplify right side
    257,760.75x = 50,735,075,095.35
  5. Step 5: Solve for x
    x = 50,735,075,095.35/257,760.75
  6. Step 6: Final answer
    x = 196,830.10

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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.