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Finding the Fourth Proportional to 69,328.19, 103,984.25 and 19,412.28

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Solution

The fourth proportional to 69,328.19, 103,984.25 and 19,412.28 is: 29,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,328.19 : 103,984.25 = 19,412.28 : x
  2. Step 2: Convert to fraction form
    69,328.19/103,984.25 = 19,412.28/x
  3. Step 3: Cross multiply
    69,328.19x = 103,984.25 × 19,412.28
  4. Step 4: Simplify right side
    69,328.19x = 2,018,571,279.53
  5. Step 5: Solve for x
    x = 2,018,571,279.53/69,328.19
  6. Step 6: Final answer
    x = 29,116.17

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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.