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Finding the Fourth Proportional to 99,870.78, 149,827.77 and 29,755.74

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Solution

The fourth proportional to 99,870.78, 149,827.77 and 29,755.74 is: 44,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,870.78 : 149,827.77 = 29,755.74 : x
  2. Step 2: Convert to fraction form
    99,870.78/149,827.77 = 29,755.74/x
  3. Step 3: Cross multiply
    99,870.78x = 149,827.77 × 29,755.74
  4. Step 4: Simplify right side
    99,870.78x = 4,458,236,168.90
  5. Step 5: Solve for x
    x = 4,458,236,168.90/99,870.78
  6. Step 6: Final answer
    x = 44,640.05

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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.