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Finding the Fourth Proportional to 142,883.76, 214,231.08 and 63,889.20

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Solution

The fourth proportional to 142,883.76, 214,231.08 and 63,889.20 is: 95,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,883.76 : 214,231.08 = 63,889.20 : x
  2. Step 2: Convert to fraction form
    142,883.76/214,231.08 = 63,889.20/x
  3. Step 3: Cross multiply
    142,883.76x = 214,231.08 × 63,889.20
  4. Step 4: Simplify right side
    142,883.76x = 13,687,052,316.34
  5. Step 5: Solve for x
    x = 13,687,052,316.34/142,883.76
  6. Step 6: Final answer
    x = 95,791.52

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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.