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Finding the Fourth Proportional to 208,547.30, 287,906.94 and 163,128.78

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Solution

The fourth proportional to 208,547.30, 287,906.94 and 163,128.78 is: 225,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547.30 : 287,906.94 = 163,128.78 : x
  2. Step 2: Convert to fraction form
    208,547.30/287,906.94 = 163,128.78/x
  3. Step 3: Cross multiply
    208,547.30x = 287,906.94 × 163,128.78
  4. Step 4: Simplify right side
    208,547.30x = 46,965,907,875.73
  5. Step 5: Solve for x
    x = 46,965,907,875.73/208,547.30
  6. Step 6: Final answer
    x = 225,205.06

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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.