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Finding the Fourth Proportional to 207,711.32, 286,641.63 and 112,218.02

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Solution

The fourth proportional to 207,711.32, 286,641.63 and 112,218.02 is: 154,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,711.32 : 286,641.63 = 112,218.02 : x
  2. Step 2: Convert to fraction form
    207,711.32/286,641.63 = 112,218.02/x
  3. Step 3: Cross multiply
    207,711.32x = 286,641.63 × 112,218.02
  4. Step 4: Simplify right side
    207,711.32x = 32,166,354,734.96
  5. Step 5: Solve for x
    x = 32,166,354,734.96/207,711.32
  6. Step 6: Final answer
    x = 154,860.87

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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.