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Finding the Fourth Proportional to 144,662.46, 216,826.01 and 85,547.85

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Solution

The fourth proportional to 144,662.46, 216,826.01 and 85,547.85 is: 128,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,662.46 : 216,826.01 = 85,547.85 : x
  2. Step 2: Convert to fraction form
    144,662.46/216,826.01 = 85,547.85/x
  3. Step 3: Cross multiply
    144,662.46x = 216,826.01 × 85,547.85
  4. Step 4: Simplify right side
    144,662.46x = 18,548,998,540.75
  5. Step 5: Solve for x
    x = 18,548,998,540.75/144,662.46
  6. Step 6: Final answer
    x = 128,222.62

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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.