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Finding the Fourth Proportional to 142,540.85, 213,811.43 and 65,596.42

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Solution

The fourth proportional to 142,540.85, 213,811.43 and 65,596.42 is: 98,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,540.85 : 213,811.43 = 65,596.42 : x
  2. Step 2: Convert to fraction form
    142,540.85/213,811.43 = 65,596.42/x
  3. Step 3: Cross multiply
    142,540.85x = 213,811.43 × 65,596.42
  4. Step 4: Simplify right side
    142,540.85x = 14,025,264,363.08
  5. Step 5: Solve for x
    x = 14,025,264,363.08/142,540.85
  6. Step 6: Final answer
    x = 98,394.70

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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.