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Finding the Fourth Proportional to 261,390.70, 392,127.10 and 111,631.78

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Solution

The fourth proportional to 261,390.70, 392,127.10 and 111,631.78 is: 167,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,390.70 : 392,127.10 = 111,631.78 : x
  2. Step 2: Convert to fraction form
    261,390.70/392,127.10 = 111,631.78/x
  3. Step 3: Cross multiply
    261,390.70x = 392,127.10 × 111,631.78
  4. Step 4: Simplify right side
    261,390.70x = 43,773,846,159.24
  5. Step 5: Solve for x
    x = 43,773,846,159.24/261,390.70
  6. Step 6: Final answer
    x = 167,465.20

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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.