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Finding the Fourth Proportional to 99,821.60, 149,631.60 and 49,824.80

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Solution

The fourth proportional to 99,821.60, 149,631.60 and 49,824.80 is: 74,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,821.60 : 149,631.60 = 49,824.80 : x
  2. Step 2: Convert to fraction form
    99,821.60/149,631.60 = 49,824.80/x
  3. Step 3: Cross multiply
    99,821.60x = 149,631.60 × 49,824.80
  4. Step 4: Simplify right side
    99,821.60x = 7,455,364,543.68
  5. Step 5: Solve for x
    x = 7,455,364,543.68/99,821.60
  6. Step 6: Final answer
    x = 74,686.89

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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.