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Finding the Fourth Proportional to 52,378.56, 78,464.16 and 45,812.16

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Solution

The fourth proportional to 52,378.56, 78,464.16 and 45,812.16 is: 68,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378.56 : 78,464.16 = 45,812.16 : x
  2. Step 2: Convert to fraction form
    52,378.56/78,464.16 = 45,812.16/x
  3. Step 3: Cross multiply
    52,378.56x = 78,464.16 × 45,812.16
  4. Step 4: Simplify right side
    52,378.56x = 3,594,612,652.19
  5. Step 5: Solve for x
    x = 3,594,612,652.19/52,378.56
  6. Step 6: Final answer
    x = 68,627.56

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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.