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Finding the Fourth Proportional to 207,435.92, 286,267.36 and 126,862

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Solution

The fourth proportional to 207,435.92, 286,267.36 and 126,862 is: 175,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,435.92 : 286,267.36 = 126,862 : x
  2. Step 2: Convert to fraction form
    207,435.92/286,267.36 = 126,862/x
  3. Step 3: Cross multiply
    207,435.92x = 286,267.36 × 126,862
  4. Step 4: Simplify right side
    207,435.92x = 36,316,449,824.32
  5. Step 5: Solve for x
    x = 36,316,449,824.32/207,435.92
  6. Step 6: Final answer
    x = 175,073.10

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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.