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Finding the Fourth Proportional to 259,662.40, 389,639.40 and 109,877.20

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Solution

The fourth proportional to 259,662.40, 389,639.40 and 109,877.20 is: 164,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,662.40 : 389,639.40 = 109,877.20 : x
  2. Step 2: Convert to fraction form
    259,662.40/389,639.40 = 109,877.20/x
  3. Step 3: Cross multiply
    259,662.40x = 389,639.40 × 109,877.20
  4. Step 4: Simplify right side
    259,662.40x = 42,812,486,281.68
  5. Step 5: Solve for x
    x = 42,812,486,281.68/259,662.40
  6. Step 6: Final answer
    x = 164,877.50

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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.