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Finding the Fourth Proportional to 61,242.10, 91,714.92 and 31,177.42

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Solution

The fourth proportional to 61,242.10, 91,714.92 and 31,177.42 is: 46,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,242.10 : 91,714.92 = 31,177.42 : x
  2. Step 2: Convert to fraction form
    61,242.10/91,714.92 = 31,177.42/x
  3. Step 3: Cross multiply
    61,242.10x = 91,714.92 × 31,177.42
  4. Step 4: Simplify right side
    61,242.10x = 2,859,434,581.11
  5. Step 5: Solve for x
    x = 2,859,434,581.11/61,242.10
  6. Step 6: Final answer
    x = 46,690.67

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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.