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Finding the Fourth Proportional to 209,818.20, 314,820.32 and 109,954.65

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Solution

The fourth proportional to 209,818.20, 314,820.32 and 109,954.65 is: 164,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,818.20 : 314,820.32 = 109,954.65 : x
  2. Step 2: Convert to fraction form
    209,818.20/314,820.32 = 109,954.65/x
  3. Step 3: Cross multiply
    209,818.20x = 314,820.32 × 109,954.65
  4. Step 4: Simplify right side
    209,818.20x = 34,615,957,548.71
  5. Step 5: Solve for x
    x = 34,615,957,548.71/209,818.20
  6. Step 6: Final answer
    x = 164,980.72

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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.