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Finding the Fourth Proportional to 142,611.36, 213,904.24 and 42,793.86

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Solution

The fourth proportional to 142,611.36, 213,904.24 and 42,793.86 is: 64,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,611.36 : 213,904.24 = 42,793.86 : x
  2. Step 2: Convert to fraction form
    142,611.36/213,904.24 = 42,793.86/x
  3. Step 3: Cross multiply
    142,611.36x = 213,904.24 × 42,793.86
  4. Step 4: Simplify right side
    142,611.36x = 9,153,788,099.97
  5. Step 5: Solve for x
    x = 9,153,788,099.97/142,611.36
  6. Step 6: Final answer
    x = 64,186.95

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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.