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Finding the Fourth Proportional to 120,048.87, 180,020.25 and 63,875.66

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Solution

The fourth proportional to 120,048.87, 180,020.25 and 63,875.66 is: 95,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048.87 : 180,020.25 = 63,875.66 : x
  2. Step 2: Convert to fraction form
    120,048.87/180,020.25 = 63,875.66/x
  3. Step 3: Cross multiply
    120,048.87x = 180,020.25 × 63,875.66
  4. Step 4: Simplify right side
    120,048.87x = 11,498,911,382.01
  5. Step 5: Solve for x
    x = 11,498,911,382.01/120,048.87
  6. Step 6: Final answer
    x = 95,785.25

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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.