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Finding the Fourth Proportional to 80,927.51, 111,767.10 and 61,601.11

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Solution

The fourth proportional to 80,927.51, 111,767.10 and 61,601.11 is: 85,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,927.51 : 111,767.10 = 61,601.11 : x
  2. Step 2: Convert to fraction form
    80,927.51/111,767.10 = 61,601.11/x
  3. Step 3: Cross multiply
    80,927.51x = 111,767.10 × 61,601.11
  4. Step 4: Simplify right side
    80,927.51x = 6,884,976,911.06
  5. Step 5: Solve for x
    x = 6,884,976,911.06/80,927.51
  6. Step 6: Final answer
    x = 85,075.86

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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.