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Finding the Fourth Proportional to 120,417.70, 180,647.42 and 40,463.47

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Solution

The fourth proportional to 120,417.70, 180,647.42 and 40,463.47 is: 60,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.70 : 180,647.42 = 40,463.47 : x
  2. Step 2: Convert to fraction form
    120,417.70/180,647.42 = 40,463.47/x
  3. Step 3: Cross multiply
    120,417.70x = 180,647.42 × 40,463.47
  4. Step 4: Simplify right side
    120,417.70x = 7,309,621,459.75
  5. Step 5: Solve for x
    x = 7,309,621,459.75/120,417.70
  6. Step 6: Final answer
    x = 60,702.22

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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.