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Finding the Fourth Proportional to 260,043.80, 390,065.70 and 82,564.70

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Solution

The fourth proportional to 260,043.80, 390,065.70 and 82,564.70 is: 123,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043.80 : 390,065.70 = 82,564.70 : x
  2. Step 2: Convert to fraction form
    260,043.80/390,065.70 = 82,564.70/x
  3. Step 3: Cross multiply
    260,043.80x = 390,065.70 × 82,564.70
  4. Step 4: Simplify right side
    260,043.80x = 32,205,657,500.79
  5. Step 5: Solve for x
    x = 32,205,657,500.79/260,043.80
  6. Step 6: Final answer
    x = 123,847.05

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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.