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Finding the Fourth Proportional to 144,772.80, 217,000.80 and 51,230.40

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Solution

The fourth proportional to 144,772.80, 217,000.80 and 51,230.40 is: 76,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,772.80 : 217,000.80 = 51,230.40 : x
  2. Step 2: Convert to fraction form
    144,772.80/217,000.80 = 51,230.40/x
  3. Step 3: Cross multiply
    144,772.80x = 217,000.80 × 51,230.40
  4. Step 4: Simplify right side
    144,772.80x = 11,117,037,784.32
  5. Step 5: Solve for x
    x = 11,117,037,784.32/144,772.80
  6. Step 6: Final answer
    x = 76,789.55

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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.