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Finding the Fourth Proportional to 122,809, 169,476.42 and 69,817

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Solution

The fourth proportional to 122,809, 169,476.42 and 69,817 is: 96,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,809 : 169,476.42 = 69,817 : x
  2. Step 2: Convert to fraction form
    122,809/169,476.42 = 69,817/x
  3. Step 3: Cross multiply
    122,809x = 169,476.42 × 69,817
  4. Step 4: Simplify right side
    122,809x = 11,832,335,215.14
  5. Step 5: Solve for x
    x = 11,832,335,215.14/122,809
  6. Step 6: Final answer
    x = 96,347.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.