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Finding the Fourth Proportional to 261,794.16, 392,691.51 and 74,805.66

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Solution

The fourth proportional to 261,794.16, 392,691.51 and 74,805.66 is: 112,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,794.16 : 392,691.51 = 74,805.66 : x
  2. Step 2: Convert to fraction form
    261,794.16/392,691.51 = 74,805.66/x
  3. Step 3: Cross multiply
    261,794.16x = 392,691.51 × 74,805.66
  4. Step 4: Simplify right side
    261,794.16x = 29,375,547,581.95
  5. Step 5: Solve for x
    x = 29,375,547,581.95/261,794.16
  6. Step 6: Final answer
    x = 112,208.57

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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.