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Finding the Fourth Proportional to 99,778.86, 149,693.13 and 29,658.15

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Solution

The fourth proportional to 99,778.86, 149,693.13 and 29,658.15 is: 44,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.86 : 149,693.13 = 29,658.15 : x
  2. Step 2: Convert to fraction form
    99,778.86/149,693.13 = 29,658.15/x
  3. Step 3: Cross multiply
    99,778.86x = 149,693.13 × 29,658.15
  4. Step 4: Simplify right side
    99,778.86x = 4,439,621,303.51
  5. Step 5: Solve for x
    x = 4,439,621,303.51/99,778.86
  6. Step 6: Final answer
    x = 44,494.61

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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.