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Finding the Fourth Proportional to 292,492.59, 438,765.66 and 82,129.11

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Solution

The fourth proportional to 292,492.59, 438,765.66 and 82,129.11 is: 123,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,492.59 : 438,765.66 = 82,129.11 : x
  2. Step 2: Convert to fraction form
    292,492.59/438,765.66 = 82,129.11/x
  3. Step 3: Cross multiply
    292,492.59x = 438,765.66 × 82,129.11
  4. Step 4: Simplify right side
    292,492.59x = 36,035,433,154.36
  5. Step 5: Solve for x
    x = 36,035,433,154.36/292,492.59
  6. Step 6: Final answer
    x = 123,201.18

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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.