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Finding the Fourth Proportional to 209,758.61, 314,683.48 and 76,638.66

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Solution

The fourth proportional to 209,758.61, 314,683.48 and 76,638.66 is: 114,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.61 : 314,683.48 = 76,638.66 : x
  2. Step 2: Convert to fraction form
    209,758.61/314,683.48 = 76,638.66/x
  3. Step 3: Cross multiply
    209,758.61x = 314,683.48 × 76,638.66
  4. Step 4: Simplify right side
    209,758.61x = 24,116,919,147.07
  5. Step 5: Solve for x
    x = 24,116,919,147.07/209,758.61
  6. Step 6: Final answer
    x = 114,974.63

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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.