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Finding the Fourth Proportional to 208,516.80, 287,754.68 and 113,024.16

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Solution

The fourth proportional to 208,516.80, 287,754.68 and 113,024.16 is: 155,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516.80 : 287,754.68 = 113,024.16 : x
  2. Step 2: Convert to fraction form
    208,516.80/287,754.68 = 113,024.16/x
  3. Step 3: Cross multiply
    208,516.80x = 287,754.68 × 113,024.16
  4. Step 4: Simplify right side
    208,516.80x = 32,523,230,993.07
  5. Step 5: Solve for x
    x = 32,523,230,993.07/208,516.80
  6. Step 6: Final answer
    x = 155,974.15

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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.