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Finding the Fourth Proportional to 81,499.61, 122,276.05 and 39,384.54

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Solution

The fourth proportional to 81,499.61, 122,276.05 and 39,384.54 is: 59,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,499.61 : 122,276.05 = 39,384.54 : x
  2. Step 2: Convert to fraction form
    81,499.61/122,276.05 = 39,384.54/x
  3. Step 3: Cross multiply
    81,499.61x = 122,276.05 × 39,384.54
  4. Step 4: Simplify right side
    81,499.61x = 4,815,785,883.81
  5. Step 5: Solve for x
    x = 4,815,785,883.81/81,499.61
  6. Step 6: Final answer
    x = 59,089.68

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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.