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Finding the Fourth Proportional to 120,139.61, 180,206.98 and 35,900.01

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Solution

The fourth proportional to 120,139.61, 180,206.98 and 35,900.01 is: 53,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.61 : 180,206.98 = 35,900.01 : x
  2. Step 2: Convert to fraction form
    120,139.61/180,206.98 = 35,900.01/x
  3. Step 3: Cross multiply
    120,139.61x = 180,206.98 × 35,900.01
  4. Step 4: Simplify right side
    120,139.61x = 6,469,432,294.32
  5. Step 5: Solve for x
    x = 6,469,432,294.32/120,139.61
  6. Step 6: Final answer
    x = 53,849.29

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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.