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Finding the Fourth Proportional to 61,338.96, 84,662.28 and 38,970

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Solution

The fourth proportional to 61,338.96, 84,662.28 and 38,970 is: 53,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,338.96 : 84,662.28 = 38,970 : x
  2. Step 2: Convert to fraction form
    61,338.96/84,662.28 = 38,970/x
  3. Step 3: Cross multiply
    61,338.96x = 84,662.28 × 38,970
  4. Step 4: Simplify right side
    61,338.96x = 3,299,289,051.60
  5. Step 5: Solve for x
    x = 3,299,289,051.60/61,338.96
  6. Step 6: Final answer
    x = 53,787.82

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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.