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Finding the Fourth Proportional to 138,415.80, 207,623.85 and 38,576.28

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Solution

The fourth proportional to 138,415.80, 207,623.85 and 38,576.28 is: 57,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.80 : 207,623.85 = 38,576.28 : x
  2. Step 2: Convert to fraction form
    138,415.80/207,623.85 = 38,576.28/x
  3. Step 3: Cross multiply
    138,415.80x = 207,623.85 × 38,576.28
  4. Step 4: Simplify right side
    138,415.80x = 8,009,355,772.28
  5. Step 5: Solve for x
    x = 8,009,355,772.28/138,415.80
  6. Step 6: Final answer
    x = 57,864.46

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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.