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Finding the Fourth Proportional to 210,723.21, 316,085.13 and 86,064.21

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Solution

The fourth proportional to 210,723.21, 316,085.13 and 86,064.21 is: 129,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,723.21 : 316,085.13 = 86,064.21 : x
  2. Step 2: Convert to fraction form
    210,723.21/316,085.13 = 86,064.21/x
  3. Step 3: Cross multiply
    210,723.21x = 316,085.13 × 86,064.21
  4. Step 4: Simplify right side
    210,723.21x = 27,203,617,006.20
  5. Step 5: Solve for x
    x = 27,203,617,006.20/210,723.21
  6. Step 6: Final answer
    x = 129,096.44

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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.