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Finding the Fourth Proportional to 138,167.36, 207,199.20 and 44,648

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Solution

The fourth proportional to 138,167.36, 207,199.20 and 44,648 is: 66,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,167.36 : 207,199.20 = 44,648 : x
  2. Step 2: Convert to fraction form
    138,167.36/207,199.20 = 44,648/x
  3. Step 3: Cross multiply
    138,167.36x = 207,199.20 × 44,648
  4. Step 4: Simplify right side
    138,167.36x = 9,251,029,881.60
  5. Step 5: Solve for x
    x = 9,251,029,881.60/138,167.36
  6. Step 6: Final answer
    x = 66,955.25

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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.