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Finding the Fourth Proportional to 99,878.84, 149,818.83 and 33,318.77

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Solution

The fourth proportional to 99,878.84, 149,818.83 and 33,318.77 is: 49,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878.84 : 149,818.83 = 33,318.77 : x
  2. Step 2: Convert to fraction form
    99,878.84/149,818.83 = 33,318.77/x
  3. Step 3: Cross multiply
    99,878.84x = 149,818.83 × 33,318.77
  4. Step 4: Simplify right side
    99,878.84x = 4,991,779,138.44
  5. Step 5: Solve for x
    x = 4,991,779,138.44/99,878.84
  6. Step 6: Final answer
    x = 49,978.35

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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.