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Finding the Fourth Proportional to 208,313.44, 287,472.72 and 112,820.32

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Solution

The fourth proportional to 208,313.44, 287,472.72 and 112,820.32 is: 155,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.44 : 287,472.72 = 112,820.32 : x
  2. Step 2: Convert to fraction form
    208,313.44/287,472.72 = 112,820.32/x
  3. Step 3: Cross multiply
    208,313.44x = 287,472.72 × 112,820.32
  4. Step 4: Simplify right side
    208,313.44x = 32,432,764,261.67
  5. Step 5: Solve for x
    x = 32,432,764,261.67/208,313.44
  6. Step 6: Final answer
    x = 155,692.14

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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.