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Finding the Fourth Proportional to 235,299.78, 353,005.02 and 77,528.22

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Solution

The fourth proportional to 235,299.78, 353,005.02 and 77,528.22 is: 116,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,299.78 : 353,005.02 = 77,528.22 : x
  2. Step 2: Convert to fraction form
    235,299.78/353,005.02 = 77,528.22/x
  3. Step 3: Cross multiply
    235,299.78x = 353,005.02 × 77,528.22
  4. Step 4: Simplify right side
    235,299.78x = 27,367,850,851.66
  5. Step 5: Solve for x
    x = 27,367,850,851.66/235,299.78
  6. Step 6: Final answer
    x = 116,310.57

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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.