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Finding the Fourth Proportional to 142,022.89, 212,872.47 and 88,739.47

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Solution

The fourth proportional to 142,022.89, 212,872.47 and 88,739.47 is: 133,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,022.89 : 212,872.47 = 88,739.47 : x
  2. Step 2: Convert to fraction form
    142,022.89/212,872.47 = 88,739.47/x
  3. Step 3: Cross multiply
    142,022.89x = 212,872.47 × 88,739.47
  4. Step 4: Simplify right side
    142,022.89x = 18,890,190,165.39
  5. Step 5: Solve for x
    x = 18,890,190,165.39/142,022.89
  6. Step 6: Final answer
    x = 133,008.07

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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.