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Finding the Fourth Proportional to 260,193.66, 390,290.49 and 73,205.16

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Solution

The fourth proportional to 260,193.66, 390,290.49 and 73,205.16 is: 109,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,193.66 : 390,290.49 = 73,205.16 : x
  2. Step 2: Convert to fraction form
    260,193.66/390,290.49 = 73,205.16/x
  3. Step 3: Cross multiply
    260,193.66x = 390,290.49 × 73,205.16
  4. Step 4: Simplify right side
    260,193.66x = 28,571,277,766.93
  5. Step 5: Solve for x
    x = 28,571,277,766.93/260,193.66
  6. Step 6: Final answer
    x = 109,807.74

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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.