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Finding the Fourth Proportional to 65,642.40, 98,244.90 and 57,769.20

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Solution

The fourth proportional to 65,642.40, 98,244.90 and 57,769.20 is: 86,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.40 : 98,244.90 = 57,769.20 : x
  2. Step 2: Convert to fraction form
    65,642.40/98,244.90 = 57,769.20/x
  3. Step 3: Cross multiply
    65,642.40x = 98,244.90 × 57,769.20
  4. Step 4: Simplify right side
    65,642.40x = 5,675,529,277.08
  5. Step 5: Solve for x
    x = 5,675,529,277.08/65,642.40
  6. Step 6: Final answer
    x = 86,461.33

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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.