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Finding the Fourth Proportional to 69,123.78, 103,702.14 and 22,376.66

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Solution

The fourth proportional to 69,123.78, 103,702.14 and 22,376.66 is: 33,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,123.78 : 103,702.14 = 22,376.66 : x
  2. Step 2: Convert to fraction form
    69,123.78/103,702.14 = 22,376.66/x
  3. Step 3: Cross multiply
    69,123.78x = 103,702.14 × 22,376.66
  4. Step 4: Simplify right side
    69,123.78x = 2,320,507,528.05
  5. Step 5: Solve for x
    x = 2,320,507,528.05/69,123.78
  6. Step 6: Final answer
    x = 33,570.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.