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Finding the Fourth Proportional to 144,709.91, 216,948.95 and 68,770.34

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Solution

The fourth proportional to 144,709.91, 216,948.95 and 68,770.34 is: 103,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,709.91 : 216,948.95 = 68,770.34 : x
  2. Step 2: Convert to fraction form
    144,709.91/216,948.95 = 68,770.34/x
  3. Step 3: Cross multiply
    144,709.91x = 216,948.95 × 68,770.34
  4. Step 4: Simplify right side
    144,709.91x = 14,919,654,304.16
  5. Step 5: Solve for x
    x = 14,919,654,304.16/144,709.91
  6. Step 6: Final answer
    x = 103,100.43

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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.