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Finding the Fourth Proportional to 210,786.62, 316,180.47 and 86,127.62

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Solution

The fourth proportional to 210,786.62, 316,180.47 and 86,127.62 is: 129,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786.62 : 316,180.47 = 86,127.62 : x
  2. Step 2: Convert to fraction form
    210,786.62/316,180.47 = 86,127.62/x
  3. Step 3: Cross multiply
    210,786.62x = 316,180.47 × 86,127.62
  4. Step 4: Simplify right side
    210,786.62x = 27,231,871,371.58
  5. Step 5: Solve for x
    x = 27,231,871,371.58/210,786.62
  6. Step 6: Final answer
    x = 129,191.65

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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.