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Finding the Fourth Proportional to 235,880.48, 353,755 and 78,121.24

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Solution

The fourth proportional to 235,880.48, 353,755 and 78,121.24 is: 117,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,880.48 : 353,755 = 78,121.24 : x
  2. Step 2: Convert to fraction form
    235,880.48/353,755 = 78,121.24/x
  3. Step 3: Cross multiply
    235,880.48x = 353,755 × 78,121.24
  4. Step 4: Simplify right side
    235,880.48x = 27,635,779,256.20
  5. Step 5: Solve for x
    x = 27,635,779,256.20/235,880.48
  6. Step 6: Final answer
    x = 117,160.09

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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.