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Finding the Fourth Proportional to 80,420.64, 110,746.56 and 75,286.16

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Solution

The fourth proportional to 80,420.64, 110,746.56 and 75,286.16 is: 103,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420.64 : 110,746.56 = 75,286.16 : x
  2. Step 2: Convert to fraction form
    80,420.64/110,746.56 = 75,286.16/x
  3. Step 3: Cross multiply
    80,420.64x = 110,746.56 × 75,286.16
  4. Step 4: Simplify right side
    80,420.64x = 8,337,683,235.61
  5. Step 5: Solve for x
    x = 8,337,683,235.61/80,420.64
  6. Step 6: Final answer
    x = 103,675.91

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1.5x scale

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.