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Finding the Fourth Proportional to 78,319.64, 108,081.20 and 42,509.64

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Solution

The fourth proportional to 78,319.64, 108,081.20 and 42,509.64 is: 58,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,319.64 : 108,081.20 = 42,509.64 : x
  2. Step 2: Convert to fraction form
    78,319.64/108,081.20 = 42,509.64/x
  3. Step 3: Cross multiply
    78,319.64x = 108,081.20 × 42,509.64
  4. Step 4: Simplify right side
    78,319.64x = 4,594,493,414.35
  5. Step 5: Solve for x
    x = 4,594,493,414.35/78,319.64
  6. Step 6: Final answer
    x = 58,663.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.