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Finding the Fourth Proportional to 208,788.90, 288,129.48 and 113,295.60

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Solution

The fourth proportional to 208,788.90, 288,129.48 and 113,295.60 is: 156,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,788.90 : 288,129.48 = 113,295.60 : x
  2. Step 2: Convert to fraction form
    208,788.90/288,129.48 = 113,295.60/x
  3. Step 3: Cross multiply
    208,788.90x = 288,129.48 × 113,295.60
  4. Step 4: Simplify right side
    208,788.90x = 32,643,801,079.07
  5. Step 5: Solve for x
    x = 32,643,801,079.07/208,788.90
  6. Step 6: Final answer
    x = 156,348.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.