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Finding the Fourth Proportional to 261,999, 392,984.70 and 84,506.01

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Solution

The fourth proportional to 261,999, 392,984.70 and 84,506.01 is: 126,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999 : 392,984.70 = 84,506.01 : x
  2. Step 2: Convert to fraction form
    261,999/392,984.70 = 84,506.01/x
  3. Step 3: Cross multiply
    261,999x = 392,984.70 × 84,506.01
  4. Step 4: Simplify right side
    261,999x = 33,209,568,988.05
  5. Step 5: Solve for x
    x = 33,209,568,988.05/261,999
  6. Step 6: Final answer
    x = 126,754.56

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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.