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Finding the Fourth Proportional to 78,555.17, 117,864 and 28,638.65

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Solution

The fourth proportional to 78,555.17, 117,864 and 28,638.65 is: 42,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,555.17 : 117,864 = 28,638.65 : x
  2. Step 2: Convert to fraction form
    78,555.17/117,864 = 28,638.65/x
  3. Step 3: Cross multiply
    78,555.17x = 117,864 × 28,638.65
  4. Step 4: Simplify right side
    78,555.17x = 3,375,465,254.28
  5. Step 5: Solve for x
    x = 3,375,465,254.28/78,555.17
  6. Step 6: Final answer
    x = 42,969.36

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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.