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Finding the Fourth Proportional to 61,072, 84,269.52 and 38,394.93

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Solution

The fourth proportional to 61,072, 84,269.52 and 38,394.93 is: 52,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072 : 84,269.52 = 38,394.93 : x
  2. Step 2: Convert to fraction form
    61,072/84,269.52 = 38,394.93/x
  3. Step 3: Cross multiply
    61,072x = 84,269.52 × 38,394.93
  4. Step 4: Simplify right side
    61,072x = 3,235,521,708.21
  5. Step 5: Solve for x
    x = 3,235,521,708.21/61,072
  6. Step 6: Final answer
    x = 52,978.81

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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.