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Finding the Fourth Proportional to 138,155.80, 207,245.40 and 38,315.98

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Solution

The fourth proportional to 138,155.80, 207,245.40 and 38,315.98 is: 57,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,155.80 : 207,245.40 = 38,315.98 : x
  2. Step 2: Convert to fraction form
    138,155.80/207,245.40 = 38,315.98/x
  3. Step 3: Cross multiply
    138,155.80x = 207,245.40 × 38,315.98
  4. Step 4: Simplify right side
    138,155.80x = 7,940,810,601.49
  5. Step 5: Solve for x
    x = 7,940,810,601.49/138,155.80
  6. Step 6: Final answer
    x = 57,477.21

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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.