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Finding the Fourth Proportional to 209,951.80, 314,927.70 and 115,145.35

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Solution

The fourth proportional to 209,951.80, 314,927.70 and 115,145.35 is: 172,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951.80 : 314,927.70 = 115,145.35 : x
  2. Step 2: Convert to fraction form
    209,951.80/314,927.70 = 115,145.35/x
  3. Step 3: Cross multiply
    209,951.80x = 314,927.70 × 115,145.35
  4. Step 4: Simplify right side
    209,951.80x = 36,262,460,241.20
  5. Step 5: Solve for x
    x = 36,262,460,241.20/209,951.80
  6. Step 6: Final answer
    x = 172,718.03

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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.