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Finding the Fourth Proportional to 208,203.44, 287,320.68 and 112,710.06

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Solution

The fourth proportional to 208,203.44, 287,320.68 and 112,710.06 is: 155,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.44 : 287,320.68 = 112,710.06 : x
  2. Step 2: Convert to fraction form
    208,203.44/287,320.68 = 112,710.06/x
  3. Step 3: Cross multiply
    208,203.44x = 287,320.68 × 112,710.06
  4. Step 4: Simplify right side
    208,203.44x = 32,383,931,082.04
  5. Step 5: Solve for x
    x = 32,383,931,082.04/208,203.44
  6. Step 6: Final answer
    x = 155,539.85

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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.