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Finding the Fourth Proportional to 207,951.64, 286,973.92 and 112,459

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Solution

The fourth proportional to 207,951.64, 286,973.92 and 112,459 is: 155,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,951.64 : 286,973.92 = 112,459 : x
  2. Step 2: Convert to fraction form
    207,951.64/286,973.92 = 112,459/x
  3. Step 3: Cross multiply
    207,951.64x = 286,973.92 × 112,459
  4. Step 4: Simplify right side
    207,951.64x = 32,272,800,069.28
  5. Step 5: Solve for x
    x = 32,272,800,069.28/207,951.64
  6. Step 6: Final answer
    x = 155,193.78

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1.5x scale

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.