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Finding the Fourth Proportional to 208,114.82, 287,198.45 and 112,621.51

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Solution

The fourth proportional to 208,114.82, 287,198.45 and 112,621.51 is: 155,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.82 : 287,198.45 = 112,621.51 : x
  2. Step 2: Convert to fraction form
    208,114.82/287,198.45 = 112,621.51/x
  3. Step 3: Cross multiply
    208,114.82x = 287,198.45 × 112,621.51
  4. Step 4: Simplify right side
    208,114.82x = 32,344,723,108.66
  5. Step 5: Solve for x
    x = 32,344,723,108.66/208,114.82
  6. Step 6: Final answer
    x = 155,417.68

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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.