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Finding the Fourth Proportional to 67,864.29, 101,809.71 and 20,483.24

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Solution

The fourth proportional to 67,864.29, 101,809.71 and 20,483.24 is: 30,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864.29 : 101,809.71 = 20,483.24 : x
  2. Step 2: Convert to fraction form
    67,864.29/101,809.71 = 20,483.24/x
  3. Step 3: Cross multiply
    67,864.29x = 101,809.71 × 20,483.24
  4. Step 4: Simplify right side
    67,864.29x = 2,085,392,931.06
  5. Step 5: Solve for x
    x = 2,085,392,931.06/67,864.29
  6. Step 6: Final answer
    x = 30,728.87

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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.