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Finding the Fourth Proportional to 66,456.51, 91,724.22 and 38,177.79

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Solution

The fourth proportional to 66,456.51, 91,724.22 and 38,177.79 is: 52,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,456.51 : 91,724.22 = 38,177.79 : x
  2. Step 2: Convert to fraction form
    66,456.51/91,724.22 = 38,177.79/x
  3. Step 3: Cross multiply
    66,456.51x = 91,724.22 × 38,177.79
  4. Step 4: Simplify right side
    66,456.51x = 3,501,828,009.07
  5. Step 5: Solve for x
    x = 3,501,828,009.07/66,456.51
  6. Step 6: Final answer
    x = 52,693.53

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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.