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Finding the Fourth Proportional to 64,077.04, 88,402.86 and 40,195

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Solution

The fourth proportional to 64,077.04, 88,402.86 and 40,195 is: 55,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077.04 : 88,402.86 = 40,195 : x
  2. Step 2: Convert to fraction form
    64,077.04/88,402.86 = 40,195/x
  3. Step 3: Cross multiply
    64,077.04x = 88,402.86 × 40,195
  4. Step 4: Simplify right side
    64,077.04x = 3,553,352,957.70
  5. Step 5: Solve for x
    x = 3,553,352,957.70/64,077.04
  6. Step 6: Final answer
    x = 55,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.