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Finding the Fourth Proportional to 209,853.16, 314,872.48 and 109,989.48

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Solution

The fourth proportional to 209,853.16, 314,872.48 and 109,989.48 is: 165,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.16 : 314,872.48 = 109,989.48 : x
  2. Step 2: Convert to fraction form
    209,853.16/314,872.48 = 109,989.48/x
  3. Step 3: Cross multiply
    209,853.16x = 314,872.48 × 109,989.48
  4. Step 4: Simplify right side
    209,853.16x = 34,632,660,341.51
  5. Step 5: Solve for x
    x = 34,632,660,341.51/209,853.16
  6. Step 6: Final answer
    x = 165,032.83

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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.