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Finding the Fourth Proportional to 155,840, 215,059.20 and 85,184

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Solution

The fourth proportional to 155,840, 215,059.20 and 85,184 is: 117,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,840 : 215,059.20 = 85,184 : x
  2. Step 2: Convert to fraction form
    155,840/215,059.20 = 85,184/x
  3. Step 3: Cross multiply
    155,840x = 215,059.20 × 85,184
  4. Step 4: Simplify right side
    155,840x = 18,319,602,892.80
  5. Step 5: Solve for x
    x = 18,319,602,892.80/155,840
  6. Step 6: Final answer
    x = 117,553.92

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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.