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Finding the Fourth Proportional to 120,152.93, 180,174.71 and 63,978.62

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Solution

The fourth proportional to 120,152.93, 180,174.71 and 63,978.62 is: 95,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152.93 : 180,174.71 = 63,978.62 : x
  2. Step 2: Convert to fraction form
    120,152.93/180,174.71 = 63,978.62/x
  3. Step 3: Cross multiply
    120,152.93x = 180,174.71 × 63,978.62
  4. Step 4: Simplify right side
    120,152.93x = 11,527,328,563.77
  5. Step 5: Solve for x
    x = 11,527,328,563.77/120,152.93
  6. Step 6: Final answer
    x = 95,938.81

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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.