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Finding the Fourth Proportional to 81,656.25, 122,492.12 and 31,740.18

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Solution

The fourth proportional to 81,656.25, 122,492.12 and 31,740.18 is: 47,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656.25 : 122,492.12 = 31,740.18 : x
  2. Step 2: Convert to fraction form
    81,656.25/122,492.12 = 31,740.18/x
  3. Step 3: Cross multiply
    81,656.25x = 122,492.12 × 31,740.18
  4. Step 4: Simplify right side
    81,656.25x = 3,887,921,778.68
  5. Step 5: Solve for x
    x = 3,887,921,778.68/81,656.25
  6. Step 6: Final answer
    x = 47,613.28

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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.