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Finding the Fourth Proportional to 111,384, 153,709.92 and 61,083

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Solution

The fourth proportional to 111,384, 153,709.92 and 61,083 is: 84,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,384 : 153,709.92 = 61,083 : x
  2. Step 2: Convert to fraction form
    111,384/153,709.92 = 61,083/x
  3. Step 3: Cross multiply
    111,384x = 153,709.92 × 61,083
  4. Step 4: Simplify right side
    111,384x = 9,389,063,043.36
  5. Step 5: Solve for x
    x = 9,389,063,043.36/111,384
  6. Step 6: Final answer
    x = 84,294.54

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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.