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Finding the Fourth Proportional to 65,909.28, 98,880.78 and 19,162.16

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Solution

The fourth proportional to 65,909.28, 98,880.78 and 19,162.16 is: 28,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.28 : 98,880.78 = 19,162.16 : x
  2. Step 2: Convert to fraction form
    65,909.28/98,880.78 = 19,162.16/x
  3. Step 3: Cross multiply
    65,909.28x = 98,880.78 × 19,162.16
  4. Step 4: Simplify right side
    65,909.28x = 1,894,769,327.28
  5. Step 5: Solve for x
    x = 1,894,769,327.28/65,909.28
  6. Step 6: Final answer
    x = 28,748.14

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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.