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Finding the Fourth Proportional to 209,711.76, 314,702.91 and 76,580.88

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Solution

The fourth proportional to 209,711.76, 314,702.91 and 76,580.88 is: 114,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.76 : 314,702.91 = 76,580.88 : x
  2. Step 2: Convert to fraction form
    209,711.76/314,702.91 = 76,580.88/x
  3. Step 3: Cross multiply
    209,711.76x = 314,702.91 × 76,580.88
  4. Step 4: Simplify right side
    209,711.76x = 24,100,225,786.36
  5. Step 5: Solve for x
    x = 24,100,225,786.36/209,711.76
  6. Step 6: Final answer
    x = 114,920.72

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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.