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Finding the Fourth Proportional to 208,867.80, 288,239.02 and 113,374.48

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Solution

The fourth proportional to 208,867.80, 288,239.02 and 113,374.48 is: 156,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,867.80 : 288,239.02 = 113,374.48 : x
  2. Step 2: Convert to fraction form
    208,867.80/288,239.02 = 113,374.48/x
  3. Step 3: Cross multiply
    208,867.80x = 288,239.02 × 113,374.48
  4. Step 4: Simplify right side
    208,867.80x = 32,678,949,008.21
  5. Step 5: Solve for x
    x = 32,678,949,008.21/208,867.80
  6. Step 6: Final answer
    x = 156,457.57

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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.