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Finding the Fourth Proportional to 209,915.49, 314,874.65 and 76,740.96

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Solution

The fourth proportional to 209,915.49, 314,874.65 and 76,740.96 is: 115,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,915.49 : 314,874.65 = 76,740.96 : x
  2. Step 2: Convert to fraction form
    209,915.49/314,874.65 = 76,740.96/x
  3. Step 3: Cross multiply
    209,915.49x = 314,874.65 × 76,740.96
  4. Step 4: Simplify right side
    209,915.49x = 24,163,782,920.66
  5. Step 5: Solve for x
    x = 24,163,782,920.66/209,915.49
  6. Step 6: Final answer
    x = 115,111.96

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1.5x scale

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.