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Finding the Fourth Proportional to 120,005.30, 180,007.95 and 97,843.70

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Solution

The fourth proportional to 120,005.30, 180,007.95 and 97,843.70 is: 146,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.30 : 180,007.95 = 97,843.70 : x
  2. Step 2: Convert to fraction form
    120,005.30/180,007.95 = 97,843.70/x
  3. Step 3: Cross multiply
    120,005.30x = 180,007.95 × 97,843.70
  4. Step 4: Simplify right side
    120,005.30x = 17,612,643,857.42
  5. Step 5: Solve for x
    x = 17,612,643,857.42/120,005.30
  6. Step 6: Final answer
    x = 146,765.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.