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Finding the Fourth Proportional to 69,325.32, 103,988.01 and 19,412.78

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Solution

The fourth proportional to 69,325.32, 103,988.01 and 19,412.78 is: 29,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,325.32 : 103,988.01 = 19,412.78 : x
  2. Step 2: Convert to fraction form
    69,325.32/103,988.01 = 19,412.78/x
  3. Step 3: Cross multiply
    69,325.32x = 103,988.01 × 19,412.78
  4. Step 4: Simplify right side
    69,325.32x = 2,018,696,360.77
  5. Step 5: Solve for x
    x = 2,018,696,360.77/69,325.32
  6. Step 6: Final answer
    x = 29,119.18

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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.