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Finding the Fourth Proportional to 209,960.40, 314,848.26 and 76,806.12

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Solution

The fourth proportional to 209,960.40, 314,848.26 and 76,806.12 is: 115,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.40 : 314,848.26 = 76,806.12 : x
  2. Step 2: Convert to fraction form
    209,960.40/314,848.26 = 76,806.12/x
  3. Step 3: Cross multiply
    209,960.40x = 314,848.26 × 76,806.12
  4. Step 4: Simplify right side
    209,960.40x = 24,182,273,239.35
  5. Step 5: Solve for x
    x = 24,182,273,239.35/209,960.40
  6. Step 6: Final answer
    x = 115,175.40

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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.