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Finding the Fourth Proportional to 208,517.80, 287,756.06 and 113,025.16

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Solution

The fourth proportional to 208,517.80, 287,756.06 and 113,025.16 is: 155,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.80 : 287,756.06 = 113,025.16 : x
  2. Step 2: Convert to fraction form
    208,517.80/287,756.06 = 113,025.16/x
  3. Step 3: Cross multiply
    208,517.80x = 287,756.06 × 113,025.16
  4. Step 4: Simplify right side
    208,517.80x = 32,523,674,722.47
  5. Step 5: Solve for x
    x = 32,523,674,722.47/208,517.80
  6. Step 6: Final answer
    x = 155,975.53

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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.