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Finding the Fourth Proportional to 78,552.42, 117,757.13 and 28,621.14

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Solution

The fourth proportional to 78,552.42, 117,757.13 and 28,621.14 is: 42,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,552.42 : 117,757.13 = 28,621.14 : x
  2. Step 2: Convert to fraction form
    78,552.42/117,757.13 = 28,621.14/x
  3. Step 3: Cross multiply
    78,552.42x = 117,757.13 × 28,621.14
  4. Step 4: Simplify right side
    78,552.42x = 3,370,343,160.62
  5. Step 5: Solve for x
    x = 3,370,343,160.62/78,552.42
  6. Step 6: Final answer
    x = 42,905.66

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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.