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Finding the Fourth Proportional to 159,686.65, 239,529.98 and 75,419.11

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Solution

The fourth proportional to 159,686.65, 239,529.98 and 75,419.11 is: 113,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,686.65 : 239,529.98 = 75,419.11 : x
  2. Step 2: Convert to fraction form
    159,686.65/239,529.98 = 75,419.11/x
  3. Step 3: Cross multiply
    159,686.65x = 239,529.98 × 75,419.11
  4. Step 4: Simplify right side
    159,686.65x = 18,065,137,909.92
  5. Step 5: Solve for x
    x = 18,065,137,909.92/159,686.65
  6. Step 6: Final answer
    x = 113,128.67

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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.