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Finding the Fourth Proportional to 208,062.84, 287,046.54 and 144,368.76

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Solution

The fourth proportional to 208,062.84, 287,046.54 and 144,368.76 is: 199,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.84 : 287,046.54 = 144,368.76 : x
  2. Step 2: Convert to fraction form
    208,062.84/287,046.54 = 144,368.76/x
  3. Step 3: Cross multiply
    208,062.84x = 287,046.54 × 144,368.76
  4. Step 4: Simplify right side
    208,062.84x = 41,440,553,042.09
  5. Step 5: Solve for x
    x = 41,440,553,042.09/208,062.84
  6. Step 6: Final answer
    x = 199,173.25

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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.