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Finding the Fourth Proportional to 259,246.40, 388,869.60 and 81,807.80

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Solution

The fourth proportional to 259,246.40, 388,869.60 and 81,807.80 is: 122,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,246.40 : 388,869.60 = 81,807.80 : x
  2. Step 2: Convert to fraction form
    259,246.40/388,869.60 = 81,807.80/x
  3. Step 3: Cross multiply
    259,246.40x = 388,869.60 × 81,807.80
  4. Step 4: Simplify right side
    259,246.40x = 31,812,566,462.88
  5. Step 5: Solve for x
    x = 31,812,566,462.88/259,246.40
  6. Step 6: Final answer
    x = 122,711.70

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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.