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Finding the Fourth Proportional to 98,676, 136,176.12 and 53,964

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Solution

The fourth proportional to 98,676, 136,176.12 and 53,964 is: 74,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676 : 136,176.12 = 53,964 : x
  2. Step 2: Convert to fraction form
    98,676/136,176.12 = 53,964/x
  3. Step 3: Cross multiply
    98,676x = 136,176.12 × 53,964
  4. Step 4: Simplify right side
    98,676x = 7,348,608,139.68
  5. Step 5: Solve for x
    x = 7,348,608,139.68/98,676
  6. Step 6: Final answer
    x = 74,472.09

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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.