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Finding the Fourth Proportional to 120,822.60, 181,055.70 and 87,612.60

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Solution

The fourth proportional to 120,822.60, 181,055.70 and 87,612.60 is: 131,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,822.60 : 181,055.70 = 87,612.60 : x
  2. Step 2: Convert to fraction form
    120,822.60/181,055.70 = 87,612.60/x
  3. Step 3: Cross multiply
    120,822.60x = 181,055.70 × 87,612.60
  4. Step 4: Simplify right side
    120,822.60x = 15,862,760,621.82
  5. Step 5: Solve for x
    x = 15,862,760,621.82/120,822.60
  6. Step 6: Final answer
    x = 131,289.68

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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.