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Finding the Fourth Proportional to 78,442.70, 117,678.15 and 28,592.73

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Solution

The fourth proportional to 78,442.70, 117,678.15 and 28,592.73 is: 42,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.70 : 117,678.15 = 28,592.73 : x
  2. Step 2: Convert to fraction form
    78,442.70/117,678.15 = 28,592.73/x
  3. Step 3: Cross multiply
    78,442.70x = 117,678.15 × 28,592.73
  4. Step 4: Simplify right side
    78,442.70x = 3,364,739,569.85
  5. Step 5: Solve for x
    x = 3,364,739,569.85/78,442.70
  6. Step 6: Final answer
    x = 42,894.24

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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.