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Finding the Fourth Proportional to 52,080, 78,133.32 and 15,144

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Solution

The fourth proportional to 52,080, 78,133.32 and 15,144 is: 22,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080 : 78,133.32 = 15,144 : x
  2. Step 2: Convert to fraction form
    52,080/78,133.32 = 15,144/x
  3. Step 3: Cross multiply
    52,080x = 78,133.32 × 15,144
  4. Step 4: Simplify right side
    52,080x = 1,183,250,998.08
  5. Step 5: Solve for x
    x = 1,183,250,998.08/52,080
  6. Step 6: Final answer
    x = 22,719.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.