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Finding the Fourth Proportional to 210,769.48, 316,193.16 and 66,711.55

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Solution

The fourth proportional to 210,769.48, 316,193.16 and 66,711.55 is: 100,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,769.48 : 316,193.16 = 66,711.55 : x
  2. Step 2: Convert to fraction form
    210,769.48/316,193.16 = 66,711.55/x
  3. Step 3: Cross multiply
    210,769.48x = 316,193.16 × 66,711.55
  4. Step 4: Simplify right side
    210,769.48x = 21,093,735,803.00
  5. Step 5: Solve for x
    x = 21,093,735,803.00/210,769.48
  6. Step 6: Final answer
    x = 100,079.65

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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.