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Finding the Fourth Proportional to 257,143.34, 385,740.38 and 88,641.48

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Solution

The fourth proportional to 257,143.34, 385,740.38 and 88,641.48 is: 132,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,143.34 : 385,740.38 = 88,641.48 : x
  2. Step 2: Convert to fraction form
    257,143.34/385,740.38 = 88,641.48/x
  3. Step 3: Cross multiply
    257,143.34x = 385,740.38 × 88,641.48
  4. Step 4: Simplify right side
    257,143.34x = 34,192,598,178.96
  5. Step 5: Solve for x
    x = 34,192,598,178.96/257,143.34
  6. Step 6: Final answer
    x = 132,970.97

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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.