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Finding the Fourth Proportional to 208,516.70, 287,753.66 and 113,023.77

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Solution

The fourth proportional to 208,516.70, 287,753.66 and 113,023.77 is: 155,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516.70 : 287,753.66 = 113,023.77 : x
  2. Step 2: Convert to fraction form
    208,516.70/287,753.66 = 113,023.77/x
  3. Step 3: Cross multiply
    208,516.70x = 287,753.66 × 113,023.77
  4. Step 4: Simplify right side
    208,516.70x = 32,523,002,919.38
  5. Step 5: Solve for x
    x = 32,523,002,919.38/208,516.70
  6. Step 6: Final answer
    x = 155,973.14

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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.