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Finding the Fourth Proportional to 142,419.52, 213,630 and 37,238.72

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Solution

The fourth proportional to 142,419.52, 213,630 and 37,238.72 is: 55,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.52 : 213,630 = 37,238.72 : x
  2. Step 2: Convert to fraction form
    142,419.52/213,630 = 37,238.72/x
  3. Step 3: Cross multiply
    142,419.52x = 213,630 × 37,238.72
  4. Step 4: Simplify right side
    142,419.52x = 7,955,307,753.60
  5. Step 5: Solve for x
    x = 7,955,307,753.60/142,419.52
  6. Step 6: Final answer
    x = 55,858.27

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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.