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Finding the Fourth Proportional to 120,700.80, 180,985.12 and 41,808.32

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Solution

The fourth proportional to 120,700.80, 180,985.12 and 41,808.32 is: 62,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.80 : 180,985.12 = 41,808.32 : x
  2. Step 2: Convert to fraction form
    120,700.80/180,985.12 = 41,808.32/x
  3. Step 3: Cross multiply
    120,700.80x = 180,985.12 × 41,808.32
  4. Step 4: Simplify right side
    120,700.80x = 7,566,683,812.20
  5. Step 5: Solve for x
    x = 7,566,683,812.20/120,700.80
  6. Step 6: Final answer
    x = 62,689.59

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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.