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Finding the Fourth Proportional to 208,384.54, 287,569.74 and 112,891.48

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Solution

The fourth proportional to 208,384.54, 287,569.74 and 112,891.48 is: 155,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,384.54 : 287,569.74 = 112,891.48 : x
  2. Step 2: Convert to fraction form
    208,384.54/287,569.74 = 112,891.48/x
  3. Step 3: Cross multiply
    208,384.54x = 287,569.74 × 112,891.48
  4. Step 4: Simplify right side
    208,384.54x = 32,464,173,551.82
  5. Step 5: Solve for x
    x = 32,464,173,551.82/208,384.54
  6. Step 6: Final answer
    x = 155,789.74

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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.