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Finding the Fourth Proportional to 70,808.16, 106,200.48 and 20,882.40

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Solution

The fourth proportional to 70,808.16, 106,200.48 and 20,882.40 is: 31,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,808.16 : 106,200.48 = 20,882.40 : x
  2. Step 2: Convert to fraction form
    70,808.16/106,200.48 = 20,882.40/x
  3. Step 3: Cross multiply
    70,808.16x = 106,200.48 × 20,882.40
  4. Step 4: Simplify right side
    70,808.16x = 2,217,720,903.55
  5. Step 5: Solve for x
    x = 2,217,720,903.55/70,808.16
  6. Step 6: Final answer
    x = 31,320.13

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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.