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Finding the Fourth Proportional to 109,647.50, 151,305.10 and 61,905.56

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Solution

The fourth proportional to 109,647.50, 151,305.10 and 61,905.56 is: 85,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647.50 : 151,305.10 = 61,905.56 : x
  2. Step 2: Convert to fraction form
    109,647.50/151,305.10 = 61,905.56/x
  3. Step 3: Cross multiply
    109,647.50x = 151,305.10 × 61,905.56
  4. Step 4: Simplify right side
    109,647.50x = 9,366,626,035.07
  5. Step 5: Solve for x
    x = 9,366,626,035.07/109,647.50
  6. Step 6: Final answer
    x = 85,424.90

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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.