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Finding the Fourth Proportional to 99,542.64, 137,364.90 and 54,219.90

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Solution

The fourth proportional to 99,542.64, 137,364.90 and 54,219.90 is: 74,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.64 : 137,364.90 = 54,219.90 : x
  2. Step 2: Convert to fraction form
    99,542.64/137,364.90 = 54,219.90/x
  3. Step 3: Cross multiply
    99,542.64x = 137,364.90 × 54,219.90
  4. Step 4: Simplify right side
    99,542.64x = 7,447,911,141.51
  5. Step 5: Solve for x
    x = 7,447,911,141.51/99,542.64
  6. Step 6: Final answer
    x = 74,821.31

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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.