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Finding the Fourth Proportional to 208,377, 287,560.50 and 112,884.36

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Solution

The fourth proportional to 208,377, 287,560.50 and 112,884.36 is: 155,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,377 : 287,560.50 = 112,884.36 : x
  2. Step 2: Convert to fraction form
    208,377/287,560.50 = 112,884.36/x
  3. Step 3: Cross multiply
    208,377x = 287,560.50 × 112,884.36
  4. Step 4: Simplify right side
    208,377x = 32,461,083,003.78
  5. Step 5: Solve for x
    x = 32,461,083,003.78/208,377
  6. Step 6: Final answer
    x = 155,780.55

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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.