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Finding the Fourth Proportional to 120,259.50, 180,451.48 and 87,252

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Solution

The fourth proportional to 120,259.50, 180,451.48 and 87,252 is: 130,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,259.50 : 180,451.48 = 87,252 : x
  2. Step 2: Convert to fraction form
    120,259.50/180,451.48 = 87,252/x
  3. Step 3: Cross multiply
    120,259.50x = 180,451.48 × 87,252
  4. Step 4: Simplify right side
    120,259.50x = 15,744,752,532.96
  5. Step 5: Solve for x
    x = 15,744,752,532.96/120,259.50
  6. Step 6: Final answer
    x = 130,923.15

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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.