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Finding the Fourth Proportional to 98,676.10, 147,941.25 and 81,967.42

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Solution

The fourth proportional to 98,676.10, 147,941.25 and 81,967.42 is: 122,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.10 : 147,941.25 = 81,967.42 : x
  2. Step 2: Convert to fraction form
    98,676.10/147,941.25 = 81,967.42/x
  3. Step 3: Cross multiply
    98,676.10x = 147,941.25 × 81,967.42
  4. Step 4: Simplify right side
    98,676.10x = 12,126,362,574.08
  5. Step 5: Solve for x
    x = 12,126,362,574.08/98,676.10
  6. Step 6: Final answer
    x = 122,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.