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Finding the Fourth Proportional to 123,705.68, 170,802.60 and 76,022.96

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Solution

The fourth proportional to 123,705.68, 170,802.60 and 76,022.96 is: 104,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,705.68 : 170,802.60 = 76,022.96 : x
  2. Step 2: Convert to fraction form
    123,705.68/170,802.60 = 76,022.96/x
  3. Step 3: Cross multiply
    123,705.68x = 170,802.60 × 76,022.96
  4. Step 4: Simplify right side
    123,705.68x = 12,984,919,227.70
  5. Step 5: Solve for x
    x = 12,984,919,227.70/123,705.68
  6. Step 6: Final answer
    x = 104,966.23

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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.