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Finding the Fourth Proportional to 101,478.16, 152,172.24 and 54,084.42

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Solution

The fourth proportional to 101,478.16, 152,172.24 and 54,084.42 is: 81,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478.16 : 152,172.24 = 54,084.42 : x
  2. Step 2: Convert to fraction form
    101,478.16/152,172.24 = 54,084.42/x
  3. Step 3: Cross multiply
    101,478.16x = 152,172.24 × 54,084.42
  4. Step 4: Simplify right side
    101,478.16x = 8,230,147,340.50
  5. Step 5: Solve for x
    x = 8,230,147,340.50/101,478.16
  6. Step 6: Final answer
    x = 81,102.65

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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.