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Finding the Fourth Proportional to 120,186.98, 180,197.34 and 86,473.77

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Solution

The fourth proportional to 120,186.98, 180,197.34 and 86,473.77 is: 129,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.98 : 180,197.34 = 86,473.77 : x
  2. Step 2: Convert to fraction form
    120,186.98/180,197.34 = 86,473.77/x
  3. Step 3: Cross multiply
    120,186.98x = 180,197.34 × 86,473.77
  4. Step 4: Simplify right side
    120,186.98x = 15,582,343,333.77
  5. Step 5: Solve for x
    x = 15,582,343,333.77/120,186.98
  6. Step 6: Final answer
    x = 129,650.84

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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.