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Finding the Fourth Proportional to 69,084.80, 103,607.04 and 31,623.68

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Solution

The fourth proportional to 69,084.80, 103,607.04 and 31,623.68 is: 47,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,084.80 : 103,607.04 = 31,623.68 : x
  2. Step 2: Convert to fraction form
    69,084.80/103,607.04 = 31,623.68/x
  3. Step 3: Cross multiply
    69,084.80x = 103,607.04 × 31,623.68
  4. Step 4: Simplify right side
    69,084.80x = 3,276,435,878.71
  5. Step 5: Solve for x
    x = 3,276,435,878.71/69,084.80
  6. Step 6: Final answer
    x = 47,426.29

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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.