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Finding the Fourth Proportional to 208,889.64, 288,259.78 and 113,394.28

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Solution

The fourth proportional to 208,889.64, 288,259.78 and 113,394.28 is: 156,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.64 : 288,259.78 = 113,394.28 : x
  2. Step 2: Convert to fraction form
    208,889.64/288,259.78 = 113,394.28/x
  3. Step 3: Cross multiply
    208,889.64x = 288,259.78 × 113,394.28
  4. Step 4: Simplify right side
    208,889.64x = 32,687,010,206.06
  5. Step 5: Solve for x
    x = 32,687,010,206.06/208,889.64
  6. Step 6: Final answer
    x = 156,479.81

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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.