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Finding the Fourth Proportional to 99,852.86, 149,737.64 and 40,648.34

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Solution

The fourth proportional to 99,852.86, 149,737.64 and 40,648.34 is: 60,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,852.86 : 149,737.64 = 40,648.34 : x
  2. Step 2: Convert to fraction form
    99,852.86/149,737.64 = 40,648.34/x
  3. Step 3: Cross multiply
    99,852.86x = 149,737.64 × 40,648.34
  4. Step 4: Simplify right side
    99,852.86x = 6,086,586,501.52
  5. Step 5: Solve for x
    x = 6,086,586,501.52/99,852.86
  6. Step 6: Final answer
    x = 60,955.56

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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.