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Finding the Fourth Proportional to 142,350.78, 213,508.74 and 89,047.44

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Solution

The fourth proportional to 142,350.78, 213,508.74 and 89,047.44 is: 133,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,350.78 : 213,508.74 = 89,047.44 : x
  2. Step 2: Convert to fraction form
    142,350.78/213,508.74 = 89,047.44/x
  3. Step 3: Cross multiply
    142,350.78x = 213,508.74 × 89,047.44
  4. Step 4: Simplify right side
    142,350.78x = 19,012,406,714.63
  5. Step 5: Solve for x
    x = 19,012,406,714.63/142,350.78
  6. Step 6: Final answer
    x = 133,560.26

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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.