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Finding the Fourth Proportional to 66,009.78, 91,109.34 and 37,731.96

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Solution

The fourth proportional to 66,009.78, 91,109.34 and 37,731.96 is: 52,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009.78 : 91,109.34 = 37,731.96 : x
  2. Step 2: Convert to fraction form
    66,009.78/91,109.34 = 37,731.96/x
  3. Step 3: Cross multiply
    66,009.78x = 91,109.34 × 37,731.96
  4. Step 4: Simplify right side
    66,009.78x = 3,437,733,972.51
  5. Step 5: Solve for x
    x = 3,437,733,972.51/66,009.78
  6. Step 6: Final answer
    x = 52,079.16

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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.