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Finding the Fourth Proportional to 99,078.84, 148,530.78 and 75,809.16

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Solution

The fourth proportional to 99,078.84, 148,530.78 and 75,809.16 is: 113,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,078.84 : 148,530.78 = 75,809.16 : x
  2. Step 2: Convert to fraction form
    99,078.84/148,530.78 = 75,809.16/x
  3. Step 3: Cross multiply
    99,078.84x = 148,530.78 × 75,809.16
  4. Step 4: Simplify right side
    99,078.84x = 11,259,993,665.94
  5. Step 5: Solve for x
    x = 11,259,993,665.94/99,078.84
  6. Step 6: Final answer
    x = 113,646.81

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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.