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Finding the Fourth Proportional to 67,160, 100,713.12 and 20,404.16

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Solution

The fourth proportional to 67,160, 100,713.12 and 20,404.16 is: 30,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,160 : 100,713.12 = 20,404.16 : x
  2. Step 2: Convert to fraction form
    67,160/100,713.12 = 20,404.16/x
  3. Step 3: Cross multiply
    67,160x = 100,713.12 × 20,404.16
  4. Step 4: Simplify right side
    67,160x = 2,054,966,614.58
  5. Step 5: Solve for x
    x = 2,054,966,614.58/67,160
  6. Step 6: Final answer
    x = 30,598.07

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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.