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Finding the Fourth Proportional to 80,258.74, 120,378.99 and 21,099.02

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Solution

The fourth proportional to 80,258.74, 120,378.99 and 21,099.02 is: 31,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,258.74 : 120,378.99 = 21,099.02 : x
  2. Step 2: Convert to fraction form
    80,258.74/120,378.99 = 21,099.02/x
  3. Step 3: Cross multiply
    80,258.74x = 120,378.99 × 21,099.02
  4. Step 4: Simplify right side
    80,258.74x = 2,539,878,717.59
  5. Step 5: Solve for x
    x = 2,539,878,717.59/80,258.74
  6. Step 6: Final answer
    x = 31,646.13

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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.