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Finding the Fourth Proportional to 210,945.66, 316,419.75 and 86,286.66

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Solution

The fourth proportional to 210,945.66, 316,419.75 and 86,286.66 is: 129,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,945.66 : 316,419.75 = 86,286.66 : x
  2. Step 2: Convert to fraction form
    210,945.66/316,419.75 = 86,286.66/x
  3. Step 3: Cross multiply
    210,945.66x = 316,419.75 × 86,286.66
  4. Step 4: Simplify right side
    210,945.66x = 27,302,803,385.54
  5. Step 5: Solve for x
    x = 27,302,803,385.54/210,945.66
  6. Step 6: Final answer
    x = 129,430.51

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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.