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Finding the Fourth Proportional to 208,518.70, 287,756.42 and 113,025.77

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Solution

The fourth proportional to 208,518.70, 287,756.42 and 113,025.77 is: 155,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.70 : 287,756.42 = 113,025.77 : x
  2. Step 2: Convert to fraction form
    208,518.70/287,756.42 = 113,025.77/x
  3. Step 3: Cross multiply
    208,518.70x = 287,756.42 × 113,025.77
  4. Step 4: Simplify right side
    208,518.70x = 32,523,890,942.94
  5. Step 5: Solve for x
    x = 32,523,890,942.94/208,518.70
  6. Step 6: Final answer
    x = 155,975.90

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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.