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Finding the Fourth Proportional to 120,088.28, 165,635.88 and 84,286.28

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Solution

The fourth proportional to 120,088.28, 165,635.88 and 84,286.28 is: 116,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.28 : 165,635.88 = 84,286.28 : x
  2. Step 2: Convert to fraction form
    120,088.28/165,635.88 = 84,286.28/x
  3. Step 3: Cross multiply
    120,088.28x = 165,635.88 × 84,286.28
  4. Step 4: Simplify right side
    120,088.28x = 13,960,832,159.73
  5. Step 5: Solve for x
    x = 13,960,832,159.73/120,088.28
  6. Step 6: Final answer
    x = 116,254.74

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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.