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Finding the Fourth Proportional to 165,116.70, 247,675.05 and 138,872.70

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Solution

The fourth proportional to 165,116.70, 247,675.05 and 138,872.70 is: 208,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,116.70 : 247,675.05 = 138,872.70 : x
  2. Step 2: Convert to fraction form
    165,116.70/247,675.05 = 138,872.70/x
  3. Step 3: Cross multiply
    165,116.70x = 247,675.05 × 138,872.70
  4. Step 4: Simplify right side
    165,116.70x = 34,395,302,916.14
  5. Step 5: Solve for x
    x = 34,395,302,916.14/165,116.70
  6. Step 6: Final answer
    x = 208,309.05

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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.