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Finding the Fourth Proportional to 142,689.60, 214,034.28 and 49,188

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Solution

The fourth proportional to 142,689.60, 214,034.28 and 49,188 is: 73,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,689.60 : 214,034.28 = 49,188 : x
  2. Step 2: Convert to fraction form
    142,689.60/214,034.28 = 49,188/x
  3. Step 3: Cross multiply
    142,689.60x = 214,034.28 × 49,188
  4. Step 4: Simplify right side
    142,689.60x = 10,527,918,164.64
  5. Step 5: Solve for x
    x = 10,527,918,164.64/142,689.60
  6. Step 6: Final answer
    x = 73,781.96

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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.