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Finding the Fourth Proportional to 70,687.64, 106,031.32 and 18,097.16

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Solution

The fourth proportional to 70,687.64, 106,031.32 and 18,097.16 is: 27,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687.64 : 106,031.32 = 18,097.16 : x
  2. Step 2: Convert to fraction form
    70,687.64/106,031.32 = 18,097.16/x
  3. Step 3: Cross multiply
    70,687.64x = 106,031.32 × 18,097.16
  4. Step 4: Simplify right side
    70,687.64x = 1,918,865,763.05
  5. Step 5: Solve for x
    x = 1,918,865,763.05/70,687.64
  6. Step 6: Final answer
    x = 27,145.70

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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.