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Finding the Fourth Proportional to 99,539.82, 137,364.96 and 54,827.82

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Solution

The fourth proportional to 99,539.82, 137,364.96 and 54,827.82 is: 75,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,539.82 : 137,364.96 = 54,827.82 : x
  2. Step 2: Convert to fraction form
    99,539.82/137,364.96 = 54,827.82/x
  3. Step 3: Cross multiply
    99,539.82x = 137,364.96 × 54,827.82
  4. Step 4: Simplify right side
    99,539.82x = 7,531,421,301.19
  5. Step 5: Solve for x
    x = 7,531,421,301.19/99,539.82
  6. Step 6: Final answer
    x = 75,662.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.