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Finding the Fourth Proportional to 108,715.77, 149,971.10 and 68,353.47

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Solution

The fourth proportional to 108,715.77, 149,971.10 and 68,353.47 is: 94,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,715.77 : 149,971.10 = 68,353.47 : x
  2. Step 2: Convert to fraction form
    108,715.77/149,971.10 = 68,353.47/x
  3. Step 3: Cross multiply
    108,715.77x = 149,971.10 × 68,353.47
  4. Step 4: Simplify right side
    108,715.77x = 10,251,044,742.95
  5. Step 5: Solve for x
    x = 10,251,044,742.95/108,715.77
  6. Step 6: Final answer
    x = 94,292.16

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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.