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Finding the Fourth Proportional to 99,551.84, 137,381.52 and 54,839.84

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Solution

The fourth proportional to 99,551.84, 137,381.52 and 54,839.84 is: 75,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,551.84 : 137,381.52 = 54,839.84 : x
  2. Step 2: Convert to fraction form
    99,551.84/137,381.52 = 54,839.84/x
  3. Step 3: Cross multiply
    99,551.84x = 137,381.52 × 54,839.84
  4. Step 4: Simplify right side
    99,551.84x = 7,533,980,575.76
  5. Step 5: Solve for x
    x = 7,533,980,575.76/99,551.84
  6. Step 6: Final answer
    x = 75,678.97

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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.