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Finding the Fourth Proportional to 208,886.67, 288,263.97 and 113,393.43

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Solution

The fourth proportional to 208,886.67, 288,263.97 and 113,393.43 is: 156,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886.67 : 288,263.97 = 113,393.43 : x
  2. Step 2: Convert to fraction form
    208,886.67/288,263.97 = 113,393.43/x
  3. Step 3: Cross multiply
    208,886.67x = 288,263.97 × 113,393.43
  4. Step 4: Simplify right side
    208,886.67x = 32,687,240,303.72
  5. Step 5: Solve for x
    x = 32,687,240,303.72/208,886.67
  6. Step 6: Final answer
    x = 156,483.13

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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.