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Finding the Fourth Proportional to 99,300, 148,950 and 29,177.76

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Solution

The fourth proportional to 99,300, 148,950 and 29,177.76 is: 43,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,300 : 148,950 = 29,177.76 : x
  2. Step 2: Convert to fraction form
    99,300/148,950 = 29,177.76/x
  3. Step 3: Cross multiply
    99,300x = 148,950 × 29,177.76
  4. Step 4: Simplify right side
    99,300x = 4,346,027,352
  5. Step 5: Solve for x
    x = 4,346,027,352/99,300
  6. Step 6: Final answer
    x = 43,766.64

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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.