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Finding the Fourth Proportional to 208,537.66, 287,777.37 and 113,041.90

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Solution

The fourth proportional to 208,537.66, 287,777.37 and 113,041.90 is: 155,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.66 : 287,777.37 = 113,041.90 : x
  2. Step 2: Convert to fraction form
    208,537.66/287,777.37 = 113,041.90/x
  3. Step 3: Cross multiply
    208,537.66x = 287,777.37 × 113,041.90
  4. Step 4: Simplify right side
    208,537.66x = 32,530,900,681.80
  5. Step 5: Solve for x
    x = 32,530,900,681.80/208,537.66
  6. Step 6: Final answer
    x = 155,995.33

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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.