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Finding the Fourth Proportional to 144,000.50, 215,978.84 and 55,295.78

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Solution

The fourth proportional to 144,000.50, 215,978.84 and 55,295.78 is: 82,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.50 : 215,978.84 = 55,295.78 : x
  2. Step 2: Convert to fraction form
    144,000.50/215,978.84 = 55,295.78/x
  3. Step 3: Cross multiply
    144,000.50x = 215,978.84 × 55,295.78
  4. Step 4: Simplify right side
    144,000.50x = 11,942,718,421.30
  5. Step 5: Solve for x
    x = 11,942,718,421.30/144,000.50
  6. Step 6: Final answer
    x = 82,935.26

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1.5x scale

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.