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Finding the Fourth Proportional to 208,285.28, 287,433.84 and 112,792.08

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Solution

The fourth proportional to 208,285.28, 287,433.84 and 112,792.08 is: 155,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,285.28 : 287,433.84 = 112,792.08 : x
  2. Step 2: Convert to fraction form
    208,285.28/287,433.84 = 112,792.08/x
  3. Step 3: Cross multiply
    208,285.28x = 287,433.84 × 112,792.08
  4. Step 4: Simplify right side
    208,285.28x = 32,420,260,675.99
  5. Step 5: Solve for x
    x = 32,420,260,675.99/208,285.28
  6. Step 6: Final answer
    x = 155,653.15

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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.