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Finding the Fourth Proportional to 208,093.84, 287,168.56 and 112,602.20

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Solution

The fourth proportional to 208,093.84, 287,168.56 and 112,602.20 is: 155,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.84 : 287,168.56 = 112,602.20 : x
  2. Step 2: Convert to fraction form
    208,093.84/287,168.56 = 112,602.20/x
  3. Step 3: Cross multiply
    208,093.84x = 287,168.56 × 112,602.20
  4. Step 4: Simplify right side
    208,093.84x = 32,335,811,626.83
  5. Step 5: Solve for x
    x = 32,335,811,626.83/208,093.84
  6. Step 6: Final answer
    x = 155,390.53

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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.