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Finding the Fourth Proportional to 78,377.67, 117,649.53 and 48,816.32

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Solution

The fourth proportional to 78,377.67, 117,649.53 and 48,816.32 is: 73,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,377.67 : 117,649.53 = 48,816.32 : x
  2. Step 2: Convert to fraction form
    78,377.67/117,649.53 = 48,816.32/x
  3. Step 3: Cross multiply
    78,377.67x = 117,649.53 × 48,816.32
  4. Step 4: Simplify right side
    78,377.67x = 5,743,216,516.08
  5. Step 5: Solve for x
    x = 5,743,216,516.08/78,377.67
  6. Step 6: Final answer
    x = 73,276.18

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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.