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Finding the Fourth Proportional to 99,078.53, 148,530.31 and 75,808.85

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Solution

The fourth proportional to 99,078.53, 148,530.31 and 75,808.85 is: 113,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,078.53 : 148,530.31 = 75,808.85 : x
  2. Step 2: Convert to fraction form
    99,078.53/148,530.31 = 75,808.85/x
  3. Step 3: Cross multiply
    99,078.53x = 148,530.31 × 75,808.85
  4. Step 4: Simplify right side
    99,078.53x = 11,259,911,991.24
  5. Step 5: Solve for x
    x = 11,259,911,991.24/99,078.53
  6. Step 6: Final answer
    x = 113,646.34

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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.