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Finding the Fourth Proportional to 261,395.31, 392,097.84 and 74,411.67

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Solution

The fourth proportional to 261,395.31, 392,097.84 and 74,411.67 is: 111,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,395.31 : 392,097.84 = 74,411.67 : x
  2. Step 2: Convert to fraction form
    261,395.31/392,097.84 = 74,411.67/x
  3. Step 3: Cross multiply
    261,395.31x = 392,097.84 × 74,411.67
  4. Step 4: Simplify right side
    261,395.31x = 29,176,655,077.79
  5. Step 5: Solve for x
    x = 29,176,655,077.79/261,395.31
  6. Step 6: Final answer
    x = 111,618.89

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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.