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Finding the Fourth Proportional to 100,492.79, 138,681.68 and 55,174.95

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Solution

The fourth proportional to 100,492.79, 138,681.68 and 55,174.95 is: 76,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.79 : 138,681.68 = 55,174.95 : x
  2. Step 2: Convert to fraction form
    100,492.79/138,681.68 = 55,174.95/x
  3. Step 3: Cross multiply
    100,492.79x = 138,681.68 × 55,174.95
  4. Step 4: Simplify right side
    100,492.79x = 7,651,754,759.92
  5. Step 5: Solve for x
    x = 7,651,754,759.92/100,492.79
  6. Step 6: Final answer
    x = 76,142.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.