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Finding the Fourth Proportional to 120,802.60, 181,025.70 and 87,592.60

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Solution

The fourth proportional to 120,802.60, 181,025.70 and 87,592.60 is: 131,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.60 : 181,025.70 = 87,592.60 : x
  2. Step 2: Convert to fraction form
    120,802.60/181,025.70 = 87,592.60/x
  3. Step 3: Cross multiply
    120,802.60x = 181,025.70 × 87,592.60
  4. Step 4: Simplify right side
    120,802.60x = 15,856,511,729.82
  5. Step 5: Solve for x
    x = 15,856,511,729.82/120,802.60
  6. Step 6: Final answer
    x = 131,259.69

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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.