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Finding the Fourth Proportional to 99,285.78, 137,015.29 and 53,963.87

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Solution

The fourth proportional to 99,285.78, 137,015.29 and 53,963.87 is: 74,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285.78 : 137,015.29 = 53,963.87 : x
  2. Step 2: Convert to fraction form
    99,285.78/137,015.29 = 53,963.87/x
  3. Step 3: Cross multiply
    99,285.78x = 137,015.29 × 53,963.87
  4. Step 4: Simplify right side
    99,285.78x = 7,393,875,297.57
  5. Step 5: Solve for x
    x = 7,393,875,297.57/99,285.78
  6. Step 6: Final answer
    x = 74,470.64

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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.