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Finding the Fourth Proportional to 260,062.61, 389,983.15 and 102,180.32

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Solution

The fourth proportional to 260,062.61, 389,983.15 and 102,180.32 is: 153,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,062.61 : 389,983.15 = 102,180.32 : x
  2. Step 2: Convert to fraction form
    260,062.61/389,983.15 = 102,180.32/x
  3. Step 3: Cross multiply
    260,062.61x = 389,983.15 × 102,180.32
  4. Step 4: Simplify right side
    260,062.61x = 39,848,600,600.79
  5. Step 5: Solve for x
    x = 39,848,600,600.79/260,062.61
  6. Step 6: Final answer
    x = 153,226.95

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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.