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Finding the Fourth Proportional to 52,081.68, 78,146.76 and 18,815.28

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Solution

The fourth proportional to 52,081.68, 78,146.76 and 18,815.28 is: 28,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081.68 : 78,146.76 = 18,815.28 : x
  2. Step 2: Convert to fraction form
    52,081.68/78,146.76 = 18,815.28/x
  3. Step 3: Cross multiply
    52,081.68x = 78,146.76 × 18,815.28
  4. Step 4: Simplify right side
    52,081.68x = 1,470,353,170.49
  5. Step 5: Solve for x
    x = 1,470,353,170.49/52,081.68
  6. Step 6: Final answer
    x = 28,231.68

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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.