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Finding the Fourth Proportional to 138,862.40, 191,630.40 and 75,200

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Solution

The fourth proportional to 138,862.40, 191,630.40 and 75,200 is: 103,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862.40 : 191,630.40 = 75,200 : x
  2. Step 2: Convert to fraction form
    138,862.40/191,630.40 = 75,200/x
  3. Step 3: Cross multiply
    138,862.40x = 191,630.40 × 75,200
  4. Step 4: Simplify right side
    138,862.40x = 14,410,606,080
  5. Step 5: Solve for x
    x = 14,410,606,080/138,862.40
  6. Step 6: Final answer
    x = 103,776.16

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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.