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Finding the Fourth Proportional to 260,807.60, 391,233.04 and 83,339.84

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Solution

The fourth proportional to 260,807.60, 391,233.04 and 83,339.84 is: 125,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,807.60 : 391,233.04 = 83,339.84 : x
  2. Step 2: Convert to fraction form
    260,807.60/391,233.04 = 83,339.84/x
  3. Step 3: Cross multiply
    260,807.60x = 391,233.04 × 83,339.84
  4. Step 4: Simplify right side
    260,807.60x = 32,605,298,956.31
  5. Step 5: Solve for x
    x = 32,605,298,956.31/260,807.60
  6. Step 6: Final answer
    x = 125,016.67

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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.