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Finding the Fourth Proportional to 210,972.30, 316,459.77 and 86,313.30

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Solution

The fourth proportional to 210,972.30, 316,459.77 and 86,313.30 is: 129,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,972.30 : 316,459.77 = 86,313.30 : x
  2. Step 2: Convert to fraction form
    210,972.30/316,459.77 = 86,313.30/x
  3. Step 3: Cross multiply
    210,972.30x = 316,459.77 × 86,313.30
  4. Step 4: Simplify right side
    210,972.30x = 27,314,687,065.94
  5. Step 5: Solve for x
    x = 27,314,687,065.94/210,972.30
  6. Step 6: Final answer
    x = 129,470.49

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1.5x scale

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.