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Finding the Fourth Proportional to 209,987.92, 314,889.52 and 76,833.64

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Solution

The fourth proportional to 209,987.92, 314,889.52 and 76,833.64 is: 115,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.92 : 314,889.52 = 76,833.64 : x
  2. Step 2: Convert to fraction form
    209,987.92/314,889.52 = 76,833.64/x
  3. Step 3: Cross multiply
    209,987.92x = 314,889.52 × 76,833.64
  4. Step 4: Simplify right side
    209,987.92x = 24,194,108,019.45
  5. Step 5: Solve for x
    x = 24,194,108,019.45/209,987.92
  6. Step 6: Final answer
    x = 115,216.67

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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.