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Finding the Fourth Proportional to 25,882,687.80, 38,824,031.70 and 13,142,489.40

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Solution

The fourth proportional to 25,882,687.80, 38,824,031.70 and 13,142,489.40 is: 19,713,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882,687.80 : 38,824,031.70 = 13,142,489.40 : x
  2. Step 2: Convert to fraction form
    25,882,687.80/38,824,031.70 = 13,142,489.40/x
  3. Step 3: Cross multiply
    25,882,687.80x = 38,824,031.70 × 13,142,489.40
  4. Step 4: Simplify right side
    25,882,687.80x = 510,244,425,082,514.06
  5. Step 5: Solve for x
    x = 510,244,425,082,514.06/25,882,687.80
  6. Step 6: Final answer
    x = 19,713,734.10

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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.