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Finding the Fourth Proportional to 208,114.50, 287,198.01 and 112,621.20

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Solution

The fourth proportional to 208,114.50, 287,198.01 and 112,621.20 is: 155,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.50 : 287,198.01 = 112,621.20 : x
  2. Step 2: Convert to fraction form
    208,114.50/287,198.01 = 112,621.20/x
  3. Step 3: Cross multiply
    208,114.50x = 287,198.01 × 112,621.20
  4. Step 4: Simplify right side
    208,114.50x = 32,344,584,523.81
  5. Step 5: Solve for x
    x = 32,344,584,523.81/208,114.50
  6. Step 6: Final answer
    x = 155,417.26

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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.