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Finding the Fourth Proportional to 52,216.80, 78,276.60 and 36,421.80

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Solution

The fourth proportional to 52,216.80, 78,276.60 and 36,421.80 is: 54,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,216.80 : 78,276.60 = 36,421.80 : x
  2. Step 2: Convert to fraction form
    52,216.80/78,276.60 = 36,421.80/x
  3. Step 3: Cross multiply
    52,216.80x = 78,276.60 × 36,421.80
  4. Step 4: Simplify right side
    52,216.80x = 2,850,974,669.88
  5. Step 5: Solve for x
    x = 2,850,974,669.88/52,216.80
  6. Step 6: Final answer
    x = 54,598.80

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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.