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Finding the Fourth Proportional to 208,354.17, 287,511.69 and 117,718

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Solution

The fourth proportional to 208,354.17, 287,511.69 and 117,718 is: 162,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,354.17 : 287,511.69 = 117,718 : x
  2. Step 2: Convert to fraction form
    208,354.17/287,511.69 = 117,718/x
  3. Step 3: Cross multiply
    208,354.17x = 287,511.69 × 117,718
  4. Step 4: Simplify right side
    208,354.17x = 33,845,301,123.42
  5. Step 5: Solve for x
    x = 33,845,301,123.42/208,354.17
  6. Step 6: Final answer
    x = 162,441.20

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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.