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Finding the Fourth Proportional to 144,841.84, 217,322.76 and 78,203.66

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Solution

The fourth proportional to 144,841.84, 217,322.76 and 78,203.66 is: 117,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,841.84 : 217,322.76 = 78,203.66 : x
  2. Step 2: Convert to fraction form
    144,841.84/217,322.76 = 78,203.66/x
  3. Step 3: Cross multiply
    144,841.84x = 217,322.76 × 78,203.66
  4. Step 4: Simplify right side
    144,841.84x = 16,995,435,233.30
  5. Step 5: Solve for x
    x = 16,995,435,233.30/144,841.84
  6. Step 6: Final answer
    x = 117,337.89

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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.