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Finding the Fourth Proportional to 144,869.77, 217,386.87 and 78,308.29

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Solution

The fourth proportional to 144,869.77, 217,386.87 and 78,308.29 is: 117,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,869.77 : 217,386.87 = 78,308.29 : x
  2. Step 2: Convert to fraction form
    144,869.77/217,386.87 = 78,308.29/x
  3. Step 3: Cross multiply
    144,869.77x = 217,386.87 × 78,308.29
  4. Step 4: Simplify right side
    144,869.77x = 17,023,194,058.15
  5. Step 5: Solve for x
    x = 17,023,194,058.15/144,869.77
  6. Step 6: Final answer
    x = 117,506.88

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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.