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Finding the Fourth Proportional to 208,154.55, 287,260.25 and 127,566.51

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Solution

The fourth proportional to 208,154.55, 287,260.25 and 127,566.51 is: 176,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,154.55 : 287,260.25 = 127,566.51 : x
  2. Step 2: Convert to fraction form
    208,154.55/287,260.25 = 127,566.51/x
  3. Step 3: Cross multiply
    208,154.55x = 287,260.25 × 127,566.51
  4. Step 4: Simplify right side
    208,154.55x = 36,644,785,839.17
  5. Step 5: Solve for x
    x = 36,644,785,839.17/208,154.55
  6. Step 6: Final answer
    x = 176,046.04

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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.