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Finding the Fourth Proportional to 108,347.49, 149,207.67 and 89,309.66

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Solution

The fourth proportional to 108,347.49, 149,207.67 and 89,309.66 is: 122,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,347.49 : 149,207.67 = 89,309.66 : x
  2. Step 2: Convert to fraction form
    108,347.49/149,207.67 = 89,309.66/x
  3. Step 3: Cross multiply
    108,347.49x = 149,207.67 × 89,309.66
  4. Step 4: Simplify right side
    108,347.49x = 13,325,685,531.05
  5. Step 5: Solve for x
    x = 13,325,685,531.05/108,347.49
  6. Step 6: Final answer
    x = 122,990.26

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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.