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Finding the Fourth Proportional to 78,769.92, 118,131.36 and 28,838.40

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Solution

The fourth proportional to 78,769.92, 118,131.36 and 28,838.40 is: 43,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.92 : 118,131.36 = 28,838.40 : x
  2. Step 2: Convert to fraction form
    78,769.92/118,131.36 = 28,838.40/x
  3. Step 3: Cross multiply
    78,769.92x = 118,131.36 × 28,838.40
  4. Step 4: Simplify right side
    78,769.92x = 3,406,719,412.22
  5. Step 5: Solve for x
    x = 3,406,719,412.22/78,769.92
  6. Step 6: Final answer
    x = 43,248.99

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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.