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Finding the Fourth Proportional to 208,980, 288,389.85 and 113,487.38

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Solution

The fourth proportional to 208,980, 288,389.85 and 113,487.38 is: 156,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,980 : 288,389.85 = 113,487.38 : x
  2. Step 2: Convert to fraction form
    208,980/288,389.85 = 113,487.38/x
  3. Step 3: Cross multiply
    208,980x = 288,389.85 × 113,487.38
  4. Step 4: Simplify right side
    208,980x = 32,728,607,709.03
  5. Step 5: Solve for x
    x = 32,728,607,709.03/208,980
  6. Step 6: Final answer
    x = 156,611.20

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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.