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Finding the Fourth Proportional to 209,766, 314,694.56 and 76,646.05

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Solution

The fourth proportional to 209,766, 314,694.56 and 76,646.05 is: 114,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,766 : 314,694.56 = 76,646.05 : x
  2. Step 2: Convert to fraction form
    209,766/314,694.56 = 76,646.05/x
  3. Step 3: Cross multiply
    209,766x = 314,694.56 × 76,646.05
  4. Step 4: Simplify right side
    209,766x = 24,120,094,980.49
  5. Step 5: Solve for x
    x = 24,120,094,980.49/209,766
  6. Step 6: Final answer
    x = 114,985.72

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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.