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Finding the Fourth Proportional to 78,442.97, 117,664.45 and 31,728.65

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Solution

The fourth proportional to 78,442.97, 117,664.45 and 31,728.65 is: 47,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.97 : 117,664.45 = 31,728.65 : x
  2. Step 2: Convert to fraction form
    78,442.97/117,664.45 = 31,728.65/x
  3. Step 3: Cross multiply
    78,442.97x = 117,664.45 × 31,728.65
  4. Step 4: Simplify right side
    78,442.97x = 3,733,333,483.85
  5. Step 5: Solve for x
    x = 3,733,333,483.85/78,442.97
  6. Step 6: Final answer
    x = 47,592.97

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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.