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Finding the Fourth Proportional to 120,089.01, 180,129.87 and 49,966.50

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Solution

The fourth proportional to 120,089.01, 180,129.87 and 49,966.50 is: 74,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089.01 : 180,129.87 = 49,966.50 : x
  2. Step 2: Convert to fraction form
    120,089.01/180,129.87 = 49,966.50/x
  3. Step 3: Cross multiply
    120,089.01x = 180,129.87 × 49,966.50
  4. Step 4: Simplify right side
    120,089.01x = 9,000,459,149.36
  5. Step 5: Solve for x
    x = 9,000,459,149.36/120,089.01
  6. Step 6: Final answer
    x = 74,948.23

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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.