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Finding the Fourth Proportional to 210,067.76, 314,999.30 and 69,779

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Solution

The fourth proportional to 210,067.76, 314,999.30 and 69,779 is: 104,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,067.76 : 314,999.30 = 69,779 : x
  2. Step 2: Convert to fraction form
    210,067.76/314,999.30 = 69,779/x
  3. Step 3: Cross multiply
    210,067.76x = 314,999.30 × 69,779
  4. Step 4: Simplify right side
    210,067.76x = 21,980,336,154.70
  5. Step 5: Solve for x
    x = 21,980,336,154.70/210,067.76
  6. Step 6: Final answer
    x = 104,634.51

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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.