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Finding the Fourth Proportional to 108,722.68, 149,898.44 and 70,414.56

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Solution

The fourth proportional to 108,722.68, 149,898.44 and 70,414.56 is: 97,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,722.68 : 149,898.44 = 70,414.56 : x
  2. Step 2: Convert to fraction form
    108,722.68/149,898.44 = 70,414.56/x
  3. Step 3: Cross multiply
    108,722.68x = 149,898.44 × 70,414.56
  4. Step 4: Simplify right side
    108,722.68x = 10,555,032,697.29
  5. Step 5: Solve for x
    x = 10,555,032,697.29/108,722.68
  6. Step 6: Final answer
    x = 97,082.16

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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.