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Finding the Fourth Proportional to 52,433.60, 78,477.60 and 40,683.20

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Solution

The fourth proportional to 52,433.60, 78,477.60 and 40,683.20 is: 60,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,433.60 : 78,477.60 = 40,683.20 : x
  2. Step 2: Convert to fraction form
    52,433.60/78,477.60 = 40,683.20/x
  3. Step 3: Cross multiply
    52,433.60x = 78,477.60 × 40,683.20
  4. Step 4: Simplify right side
    52,433.60x = 3,192,719,896.32
  5. Step 5: Solve for x
    x = 3,192,719,896.32/52,433.60
  6. Step 6: Final answer
    x = 60,890.72

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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.