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Finding the Fourth Proportional to 207,909.97, 286,915.57 and 112,416.46

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Solution

The fourth proportional to 207,909.97, 286,915.57 and 112,416.46 is: 155,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909.97 : 286,915.57 = 112,416.46 : x
  2. Step 2: Convert to fraction form
    207,909.97/286,915.57 = 112,416.46/x
  3. Step 3: Cross multiply
    207,909.97x = 286,915.57 × 112,416.46
  4. Step 4: Simplify right side
    207,909.97x = 32,254,032,698.28
  5. Step 5: Solve for x
    x = 32,254,032,698.28/207,909.97
  6. Step 6: Final answer
    x = 155,134.61

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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.