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Finding the Fourth Proportional to 144,645.84, 217,001.52 and 78,084.72

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Solution

The fourth proportional to 144,645.84, 217,001.52 and 78,084.72 is: 117,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,645.84 : 217,001.52 = 78,084.72 : x
  2. Step 2: Convert to fraction form
    144,645.84/217,001.52 = 78,084.72/x
  3. Step 3: Cross multiply
    144,645.84x = 217,001.52 × 78,084.72
  4. Step 4: Simplify right side
    144,645.84x = 16,944,502,928.77
  5. Step 5: Solve for x
    x = 16,944,502,928.77/144,645.84
  6. Step 6: Final answer
    x = 117,144.76

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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.