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Finding the Fourth Proportional to 65,666, 98,552.76 and 45,984.08

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Solution

The fourth proportional to 65,666, 98,552.76 and 45,984.08 is: 69,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,666 : 98,552.76 = 45,984.08 : x
  2. Step 2: Convert to fraction form
    65,666/98,552.76 = 45,984.08/x
  3. Step 3: Cross multiply
    65,666x = 98,552.76 × 45,984.08
  4. Step 4: Simplify right side
    65,666x = 4,531,858,000.06
  5. Step 5: Solve for x
    x = 4,531,858,000.06/65,666
  6. Step 6: Final answer
    x = 69,013.77

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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.