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Finding the Fourth Proportional to 121,771, 182,711.22 and 77,386.24

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Solution

The fourth proportional to 121,771, 182,711.22 and 77,386.24 is: 116,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,771 : 182,711.22 = 77,386.24 : x
  2. Step 2: Convert to fraction form
    121,771/182,711.22 = 77,386.24/x
  3. Step 3: Cross multiply
    121,771x = 182,711.22 × 77,386.24
  4. Step 4: Simplify right side
    121,771x = 14,139,334,321.61
  5. Step 5: Solve for x
    x = 14,139,334,321.61/121,771
  6. Step 6: Final answer
    x = 116,114.13

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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.