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Finding the Fourth Proportional to 120,689.65, 180,221.75 and 98,546.23

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Solution

The fourth proportional to 120,689.65, 180,221.75 and 98,546.23 is: 147,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,689.65 : 180,221.75 = 98,546.23 : x
  2. Step 2: Convert to fraction form
    120,689.65/180,221.75 = 98,546.23/x
  3. Step 3: Cross multiply
    120,689.65x = 180,221.75 × 98,546.23
  4. Step 4: Simplify right side
    120,689.65x = 17,760,174,026.50
  5. Step 5: Solve for x
    x = 17,760,174,026.50/120,689.65
  6. Step 6: Final answer
    x = 147,155.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.