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Finding the Fourth Proportional to 81,377.66, 122,085.12 and 31,458.17

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Solution

The fourth proportional to 81,377.66, 122,085.12 and 31,458.17 is: 47,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,377.66 : 122,085.12 = 31,458.17 : x
  2. Step 2: Convert to fraction form
    81,377.66/122,085.12 = 31,458.17/x
  3. Step 3: Cross multiply
    81,377.66x = 122,085.12 × 31,458.17
  4. Step 4: Simplify right side
    81,377.66x = 3,840,574,459.43
  5. Step 5: Solve for x
    x = 3,840,574,459.43/81,377.66
  6. Step 6: Final answer
    x = 47,194.46

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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.