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Finding the Fourth Proportional to 261,396.42, 392,097.06 and 74,407.92

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Solution

The fourth proportional to 261,396.42, 392,097.06 and 74,407.92 is: 111,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,396.42 : 392,097.06 = 74,407.92 : x
  2. Step 2: Convert to fraction form
    261,396.42/392,097.06 = 74,407.92/x
  3. Step 3: Cross multiply
    261,396.42x = 392,097.06 × 74,407.92
  4. Step 4: Simplify right side
    261,396.42x = 29,175,126,672.72
  5. Step 5: Solve for x
    x = 29,175,126,672.72/261,396.42
  6. Step 6: Final answer
    x = 111,612.57

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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.