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Finding the Fourth Proportional to 208,804.88, 288,151.50 and 113,311.55

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Solution

The fourth proportional to 208,804.88, 288,151.50 and 113,311.55 is: 156,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,804.88 : 288,151.50 = 113,311.55 : x
  2. Step 2: Convert to fraction form
    208,804.88/288,151.50 = 113,311.55/x
  3. Step 3: Cross multiply
    208,804.88x = 288,151.50 × 113,311.55
  4. Step 4: Simplify right side
    208,804.88x = 32,650,891,659.07
  5. Step 5: Solve for x
    x = 32,650,891,659.07/208,804.88
  6. Step 6: Final answer
    x = 156,370.35

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1.5x scale

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.