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Finding the Fourth Proportional to 78,116.48, 117,173.68 and 18,952.64

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Solution

The fourth proportional to 78,116.48, 117,173.68 and 18,952.64 is: 28,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.48 : 117,173.68 = 18,952.64 : x
  2. Step 2: Convert to fraction form
    78,116.48/117,173.68 = 18,952.64/x
  3. Step 3: Cross multiply
    78,116.48x = 117,173.68 × 18,952.64
  4. Step 4: Simplify right side
    78,116.48x = 2,220,750,574.52
  5. Step 5: Solve for x
    x = 2,220,750,574.52/78,116.48
  6. Step 6: Final answer
    x = 28,428.71

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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.