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Finding the Fourth Proportional to 123,781.14, 170,770.14 and 70,053.84

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Solution

The fourth proportional to 123,781.14, 170,770.14 and 70,053.84 is: 96,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,781.14 : 170,770.14 = 70,053.84 : x
  2. Step 2: Convert to fraction form
    123,781.14/170,770.14 = 70,053.84/x
  3. Step 3: Cross multiply
    123,781.14x = 170,770.14 × 70,053.84
  4. Step 4: Simplify right side
    123,781.14x = 11,963,104,064.34
  5. Step 5: Solve for x
    x = 11,963,104,064.34/123,781.14
  6. Step 6: Final answer
    x = 96,647.23

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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.