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Finding the Fourth Proportional to 261,908.61, 392,534.24 and 111,972.68

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Solution

The fourth proportional to 261,908.61, 392,534.24 and 111,972.68 is: 167,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,908.61 : 392,534.24 = 111,972.68 : x
  2. Step 2: Convert to fraction form
    261,908.61/392,534.24 = 111,972.68/x
  3. Step 3: Cross multiply
    261,908.61x = 392,534.24 × 111,972.68
  4. Step 4: Simplify right side
    261,908.61x = 43,953,110,423.88
  5. Step 5: Solve for x
    x = 43,953,110,423.88/261,908.61
  6. Step 6: Final answer
    x = 167,818.50

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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.