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Finding the Fourth Proportional to 209,035.32, 288,487.92 and 118,395

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Solution

The fourth proportional to 209,035.32, 288,487.92 and 118,395 is: 163,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,035.32 : 288,487.92 = 118,395 : x
  2. Step 2: Convert to fraction form
    209,035.32/288,487.92 = 118,395/x
  3. Step 3: Cross multiply
    209,035.32x = 288,487.92 × 118,395
  4. Step 4: Simplify right side
    209,035.32x = 34,155,527,288.40
  5. Step 5: Solve for x
    x = 34,155,527,288.40/209,035.32
  6. Step 6: Final answer
    x = 163,395.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.