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Finding the Fourth Proportional to 61,149.60, 91,810.80 and 37,821.60

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Solution

The fourth proportional to 61,149.60, 91,810.80 and 37,821.60 is: 56,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,149.60 : 91,810.80 = 37,821.60 : x
  2. Step 2: Convert to fraction form
    61,149.60/91,810.80 = 37,821.60/x
  3. Step 3: Cross multiply
    61,149.60x = 91,810.80 × 37,821.60
  4. Step 4: Simplify right side
    61,149.60x = 3,472,431,353.28
  5. Step 5: Solve for x
    x = 3,472,431,353.28/61,149.60
  6. Step 6: Final answer
    x = 56,785.84

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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.