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Finding the Fourth Proportional to 138,496.72, 207,780 and 38,656.80

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Solution

The fourth proportional to 138,496.72, 207,780 and 38,656.80 is: 57,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.72 : 207,780 = 38,656.80 : x
  2. Step 2: Convert to fraction form
    138,496.72/207,780 = 38,656.80/x
  3. Step 3: Cross multiply
    138,496.72x = 207,780 × 38,656.80
  4. Step 4: Simplify right side
    138,496.72x = 8,032,109,904.00
  5. Step 5: Solve for x
    x = 8,032,109,904.00/138,496.72
  6. Step 6: Final answer
    x = 57,994.95

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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.