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Finding the Fourth Proportional to 120,827.60, 181,063.20 and 87,617.60

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Solution

The fourth proportional to 120,827.60, 181,063.20 and 87,617.60 is: 131,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,827.60 : 181,063.20 = 87,617.60 : x
  2. Step 2: Convert to fraction form
    120,827.60/181,063.20 = 87,617.60/x
  3. Step 3: Cross multiply
    120,827.60x = 181,063.20 × 87,617.60
  4. Step 4: Simplify right side
    120,827.60x = 15,864,323,032.32
  5. Step 5: Solve for x
    x = 15,864,323,032.32/120,827.60
  6. Step 6: Final answer
    x = 131,297.18

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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.