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Finding the Fourth Proportional to 138,827.52, 191,574.24 and 78,410.52

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Solution

The fourth proportional to 138,827.52, 191,574.24 and 78,410.52 is: 108,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.52 : 191,574.24 = 78,410.52 : x
  2. Step 2: Convert to fraction form
    138,827.52/191,574.24 = 78,410.52/x
  3. Step 3: Cross multiply
    138,827.52x = 191,574.24 × 78,410.52
  4. Step 4: Simplify right side
    138,827.52x = 15,021,435,777.00
  5. Step 5: Solve for x
    x = 15,021,435,777.00/138,827.52
  6. Step 6: Final answer
    x = 108,202.15

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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.