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Finding the Fourth Proportional to 141,762.16, 212,775 and 71,691.76

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Solution

The fourth proportional to 141,762.16, 212,775 and 71,691.76 is: 107,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,762.16 : 212,775 = 71,691.76 : x
  2. Step 2: Convert to fraction form
    141,762.16/212,775 = 71,691.76/x
  3. Step 3: Cross multiply
    141,762.16x = 212,775 × 71,691.76
  4. Step 4: Simplify right side
    141,762.16x = 15,254,214,234.00
  5. Step 5: Solve for x
    x = 15,254,214,234.00/141,762.16
  6. Step 6: Final answer
    x = 107,604.27

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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.