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Finding the Fourth Proportional to 208,045.20, 287,102.40 and 112,551.84

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Solution

The fourth proportional to 208,045.20, 287,102.40 and 112,551.84 is: 155,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.20 : 287,102.40 = 112,551.84 : x
  2. Step 2: Convert to fraction form
    208,045.20/287,102.40 = 112,551.84/x
  3. Step 3: Cross multiply
    208,045.20x = 287,102.40 × 112,551.84
  4. Step 4: Simplify right side
    208,045.20x = 32,313,903,388.42
  5. Step 5: Solve for x
    x = 32,313,903,388.42/208,045.20
  6. Step 6: Final answer
    x = 155,321.55

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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.