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Finding the Fourth Proportional to 120,185.98, 180,195.84 and 86,472.77

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Solution

The fourth proportional to 120,185.98, 180,195.84 and 86,472.77 is: 129,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,185.98 : 180,195.84 = 86,472.77 : x
  2. Step 2: Convert to fraction form
    120,185.98/180,195.84 = 86,472.77/x
  3. Step 3: Cross multiply
    120,185.98x = 180,195.84 × 86,472.77
  4. Step 4: Simplify right side
    120,185.98x = 15,582,032,526.30
  5. Step 5: Solve for x
    x = 15,582,032,526.30/120,185.98
  6. Step 6: Final answer
    x = 129,649.34

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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.