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Finding the Fourth Proportional to 65,217.60, 97,899.30 and 50,491.80

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Solution

The fourth proportional to 65,217.60, 97,899.30 and 50,491.80 is: 75,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.60 : 97,899.30 = 50,491.80 : x
  2. Step 2: Convert to fraction form
    65,217.60/97,899.30 = 50,491.80/x
  3. Step 3: Cross multiply
    65,217.60x = 97,899.30 × 50,491.80
  4. Step 4: Simplify right side
    65,217.60x = 4,943,111,875.74
  5. Step 5: Solve for x
    x = 4,943,111,875.74/65,217.60
  6. Step 6: Final answer
    x = 75,794.14

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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.