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Finding the Fourth Proportional to 208,884.95, 288,260.42 and 113,390.81

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Solution

The fourth proportional to 208,884.95, 288,260.42 and 113,390.81 is: 156,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,884.95 : 288,260.42 = 113,390.81 : x
  2. Step 2: Convert to fraction form
    208,884.95/288,260.42 = 113,390.81/x
  3. Step 3: Cross multiply
    208,884.95x = 288,260.42 × 113,390.81
  4. Step 4: Simplify right side
    208,884.95x = 32,686,080,506.48
  5. Step 5: Solve for x
    x = 32,686,080,506.48/208,884.95
  6. Step 6: Final answer
    x = 156,478.87

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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.