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Finding the Fourth Proportional to 208,859.52, 288,225.12 and 113,360.64

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Solution

The fourth proportional to 208,859.52, 288,225.12 and 113,360.64 is: 156,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.52 : 288,225.12 = 113,360.64 : x
  2. Step 2: Convert to fraction form
    208,859.52/288,225.12 = 113,360.64/x
  3. Step 3: Cross multiply
    208,859.52x = 288,225.12 × 113,360.64
  4. Step 4: Simplify right side
    208,859.52x = 32,673,384,067.28
  5. Step 5: Solve for x
    x = 32,673,384,067.28/208,859.52
  6. Step 6: Final answer
    x = 156,437.13

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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.