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Finding the Fourth Proportional to 257,193.70, 385,783.26 and 88,710.86

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Solution

The fourth proportional to 257,193.70, 385,783.26 and 88,710.86 is: 133,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,193.70 : 385,783.26 = 88,710.86 : x
  2. Step 2: Convert to fraction form
    257,193.70/385,783.26 = 88,710.86/x
  3. Step 3: Cross multiply
    257,193.70x = 385,783.26 × 88,710.86
  4. Step 4: Simplify right side
    257,193.70x = 34,223,165,400.00
  5. Step 5: Solve for x
    x = 34,223,165,400.00/257,193.70
  6. Step 6: Final answer
    x = 133,063.78

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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.