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Finding the Fourth Proportional to 208,262.18, 287,401.84 and 112,768.86

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Solution

The fourth proportional to 208,262.18, 287,401.84 and 112,768.86 is: 155,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262.18 : 287,401.84 = 112,768.86 : x
  2. Step 2: Convert to fraction form
    208,262.18/287,401.84 = 112,768.86/x
  3. Step 3: Cross multiply
    208,262.18x = 287,401.84 × 112,768.86
  4. Step 4: Simplify right side
    208,262.18x = 32,409,977,858.70
  5. Step 5: Solve for x
    x = 32,409,977,858.70/208,262.18
  6. Step 6: Final answer
    x = 155,621.04

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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.