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Finding the Fourth Proportional to 142,635.52, 213,836.64 and 53,838.46

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Solution

The fourth proportional to 142,635.52, 213,836.64 and 53,838.46 is: 80,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,635.52 : 213,836.64 = 53,838.46 : x
  2. Step 2: Convert to fraction form
    142,635.52/213,836.64 = 53,838.46/x
  3. Step 3: Cross multiply
    142,635.52x = 213,836.64 × 53,838.46
  4. Step 4: Simplify right side
    142,635.52x = 11,512,635,389.17
  5. Step 5: Solve for x
    x = 11,512,635,389.17/142,635.52
  6. Step 6: Final answer
    x = 80,713.66

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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.