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Finding the Fourth Proportional to 99,098.78, 148,646.66 and 68,675.84

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Solution

The fourth proportional to 99,098.78, 148,646.66 and 68,675.84 is: 103,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,098.78 : 148,646.66 = 68,675.84 : x
  2. Step 2: Convert to fraction form
    99,098.78/148,646.66 = 68,675.84/x
  3. Step 3: Cross multiply
    99,098.78x = 148,646.66 × 68,675.84
  4. Step 4: Simplify right side
    99,098.78x = 10,208,434,238.69
  5. Step 5: Solve for x
    x = 10,208,434,238.69/99,098.78
  6. Step 6: Final answer
    x = 103,012.71

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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.