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Finding the Fourth Proportional to 210,972.80, 316,460.52 and 86,313.80

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Solution

The fourth proportional to 210,972.80, 316,460.52 and 86,313.80 is: 129,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,972.80 : 316,460.52 = 86,313.80 : x
  2. Step 2: Convert to fraction form
    210,972.80/316,460.52 = 86,313.80/x
  3. Step 3: Cross multiply
    210,972.80x = 316,460.52 × 86,313.80
  4. Step 4: Simplify right side
    210,972.80x = 27,314,910,031.18
  5. Step 5: Solve for x
    x = 27,314,910,031.18/210,972.80
  6. Step 6: Final answer
    x = 129,471.24

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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.