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Finding the Fourth Proportional to 52,205.60, 78,135.60 and 40,455.20

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Solution

The fourth proportional to 52,205.60, 78,135.60 and 40,455.20 is: 60,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.60 : 78,135.60 = 40,455.20 : x
  2. Step 2: Convert to fraction form
    52,205.60/78,135.60 = 40,455.20/x
  3. Step 3: Cross multiply
    52,205.60x = 78,135.60 × 40,455.20
  4. Step 4: Simplify right side
    52,205.60x = 3,160,991,325.12
  5. Step 5: Solve for x
    x = 3,160,991,325.12/52,205.60
  6. Step 6: Final answer
    x = 60,548.89

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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.