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Finding the Fourth Proportional to 210,914.96, 316,373.65 and 86,255.96

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Solution

The fourth proportional to 210,914.96, 316,373.65 and 86,255.96 is: 129,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,914.96 : 316,373.65 = 86,255.96 : x
  2. Step 2: Convert to fraction form
    210,914.96/316,373.65 = 86,255.96/x
  3. Step 3: Cross multiply
    210,914.96x = 316,373.65 × 86,255.96
  4. Step 4: Simplify right side
    210,914.96x = 27,289,111,101.95
  5. Step 5: Solve for x
    x = 27,289,111,101.95/210,914.96
  6. Step 6: Final answer
    x = 129,384.43

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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.