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Finding the Fourth Proportional to 78,565.32, 117,811.44 and 28,610.64

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Solution

The fourth proportional to 78,565.32, 117,811.44 and 28,610.64 is: 42,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.32 : 117,811.44 = 28,610.64 : x
  2. Step 2: Convert to fraction form
    78,565.32/117,811.44 = 28,610.64/x
  3. Step 3: Cross multiply
    78,565.32x = 117,811.44 × 28,610.64
  4. Step 4: Simplify right side
    78,565.32x = 3,370,660,697.72
  5. Step 5: Solve for x
    x = 3,370,660,697.72/78,565.32
  6. Step 6: Final answer
    x = 42,902.65

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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.