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Finding the Fourth Proportional to 68,031.30, 102,047.16 and 20,646.78

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Solution

The fourth proportional to 68,031.30, 102,047.16 and 20,646.78 is: 30,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031.30 : 102,047.16 = 20,646.78 : x
  2. Step 2: Convert to fraction form
    68,031.30/102,047.16 = 20,646.78/x
  3. Step 3: Cross multiply
    68,031.30x = 102,047.16 × 20,646.78
  4. Step 4: Simplify right side
    68,031.30x = 2,106,945,262.14
  5. Step 5: Solve for x
    x = 2,106,945,262.14/68,031.30
  6. Step 6: Final answer
    x = 30,970.23

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1.5x scale

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.