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Finding the Fourth Proportional to 142,686.80, 214,134.01 and 114,941.82

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Solution

The fourth proportional to 142,686.80, 214,134.01 and 114,941.82 is: 172,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,686.80 : 214,134.01 = 114,941.82 : x
  2. Step 2: Convert to fraction form
    142,686.80/214,134.01 = 114,941.82/x
  3. Step 3: Cross multiply
    142,686.80x = 214,134.01 × 114,941.82
  4. Step 4: Simplify right side
    142,686.80x = 24,612,952,833.30
  5. Step 5: Solve for x
    x = 24,612,952,833.30/142,686.80
  6. Step 6: Final answer
    x = 172,496.35

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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.