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Finding the Fourth Proportional to 261,774.22, 392,681.22 and 101,781.42

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Solution

The fourth proportional to 261,774.22, 392,681.22 and 101,781.42 is: 152,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,774.22 : 392,681.22 = 101,781.42 : x
  2. Step 2: Convert to fraction form
    261,774.22/392,681.22 = 101,781.42/x
  3. Step 3: Cross multiply
    261,774.22x = 392,681.22 × 101,781.42
  4. Step 4: Simplify right side
    261,774.22x = 39,967,652,178.93
  5. Step 5: Solve for x
    x = 39,967,652,178.93/261,774.22
  6. Step 6: Final answer
    x = 152,679.86

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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.