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Finding the Fourth Proportional to 78,399.90, 117,565.83 and 28,463.40

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Solution

The fourth proportional to 78,399.90, 117,565.83 and 28,463.40 is: 42,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,399.90 : 117,565.83 = 28,463.40 : x
  2. Step 2: Convert to fraction form
    78,399.90/117,565.83 = 28,463.40/x
  3. Step 3: Cross multiply
    78,399.90x = 117,565.83 × 28,463.40
  4. Step 4: Simplify right side
    78,399.90x = 3,346,323,245.62
  5. Step 5: Solve for x
    x = 3,346,323,245.62/78,399.90
  6. Step 6: Final answer
    x = 42,682.75

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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.