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Finding the Fourth Proportional to 208,997.81, 288,468.60 and 118,407.14

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Solution

The fourth proportional to 208,997.81, 288,468.60 and 118,407.14 is: 163,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,997.81 : 288,468.60 = 118,407.14 : x
  2. Step 2: Convert to fraction form
    208,997.81/288,468.60 = 118,407.14/x
  3. Step 3: Cross multiply
    208,997.81x = 288,468.60 × 118,407.14
  4. Step 4: Simplify right side
    208,997.81x = 34,156,741,101.19
  5. Step 5: Solve for x
    x = 34,156,741,101.19/208,997.81
  6. Step 6: Final answer
    x = 163,431.10

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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.