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Finding the Fourth Proportional to 99,829.28, 149,751.11 and 31,434.98

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Solution

The fourth proportional to 99,829.28, 149,751.11 and 31,434.98 is: 47,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,829.28 : 149,751.11 = 31,434.98 : x
  2. Step 2: Convert to fraction form
    99,829.28/149,751.11 = 31,434.98/x
  3. Step 3: Cross multiply
    99,829.28x = 149,751.11 × 31,434.98
  4. Step 4: Simplify right side
    99,829.28x = 4,707,422,477.66
  5. Step 5: Solve for x
    x = 4,707,422,477.66/99,829.28
  6. Step 6: Final answer
    x = 47,154.73

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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.