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Finding the Fourth Proportional to 99,662.50, 149,493.75 and 40,502.78

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Solution

The fourth proportional to 99,662.50, 149,493.75 and 40,502.78 is: 60,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,662.50 : 149,493.75 = 40,502.78 : x
  2. Step 2: Convert to fraction form
    99,662.50/149,493.75 = 40,502.78/x
  3. Step 3: Cross multiply
    99,662.50x = 149,493.75 × 40,502.78
  4. Step 4: Simplify right side
    99,662.50x = 6,054,913,197.60
  5. Step 5: Solve for x
    x = 6,054,913,197.60/99,662.50
  6. Step 6: Final answer
    x = 60,754.18

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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.