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Finding the Fourth Proportional to 210,974.80, 316,463.52 and 86,315.80

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Solution

The fourth proportional to 210,974.80, 316,463.52 and 86,315.80 is: 129,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,974.80 : 316,463.52 = 86,315.80 : x
  2. Step 2: Convert to fraction form
    210,974.80/316,463.52 = 86,315.80/x
  3. Step 3: Cross multiply
    210,974.80x = 316,463.52 × 86,315.80
  4. Step 4: Simplify right side
    210,974.80x = 27,315,801,899.62
  5. Step 5: Solve for x
    x = 27,315,801,899.62/210,974.80
  6. Step 6: Final answer
    x = 129,474.24

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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.