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Finding the Fourth Proportional to 208,211.54, 287,332.58 and 112,718

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Solution

The fourth proportional to 208,211.54, 287,332.58 and 112,718 is: 155,551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211.54 : 287,332.58 = 112,718 : x
  2. Step 2: Convert to fraction form
    208,211.54/287,332.58 = 112,718/x
  3. Step 3: Cross multiply
    208,211.54x = 287,332.58 × 112,718
  4. Step 4: Simplify right side
    208,211.54x = 32,387,553,752.44
  5. Step 5: Solve for x
    x = 32,387,553,752.44/208,211.54
  6. Step 6: Final answer
    x = 155,551.19

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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.