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Finding the Fourth Proportional to 261,810.76, 392,765.82 and 119,665.48

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Solution

The fourth proportional to 261,810.76, 392,765.82 and 119,665.48 is: 179,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810.76 : 392,765.82 = 119,665.48 : x
  2. Step 2: Convert to fraction form
    261,810.76/392,765.82 = 119,665.48/x
  3. Step 3: Cross multiply
    261,810.76x = 392,765.82 × 119,665.48
  4. Step 4: Simplify right side
    261,810.76x = 47,000,510,377.89
  5. Step 5: Solve for x
    x = 47,000,510,377.89/261,810.76
  6. Step 6: Final answer
    x = 179,520.93

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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.