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Finding the Fourth Proportional to 142,833.61, 197,102.80 and 82,400.66

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Solution

The fourth proportional to 142,833.61, 197,102.80 and 82,400.66 is: 113,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,833.61 : 197,102.80 = 82,400.66 : x
  2. Step 2: Convert to fraction form
    142,833.61/197,102.80 = 82,400.66/x
  3. Step 3: Cross multiply
    142,833.61x = 197,102.80 × 82,400.66
  4. Step 4: Simplify right side
    142,833.61x = 16,241,400,664.47
  5. Step 5: Solve for x
    x = 16,241,400,664.47/142,833.61
  6. Step 6: Final answer
    x = 113,708.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.