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Finding the Fourth Proportional to 208,391.64, 287,578.65 and 112,898.10

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Solution

The fourth proportional to 208,391.64, 287,578.65 and 112,898.10 is: 155,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,391.64 : 287,578.65 = 112,898.10 : x
  2. Step 2: Convert to fraction form
    208,391.64/287,578.65 = 112,898.10/x
  3. Step 3: Cross multiply
    208,391.64x = 287,578.65 × 112,898.10
  4. Step 4: Simplify right side
    208,391.64x = 32,467,084,687.35
  5. Step 5: Solve for x
    x = 32,467,084,687.35/208,391.64
  6. Step 6: Final answer
    x = 155,798.41

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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.