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Finding the Fourth Proportional to 208,494.81, 287,723.30 and 113,001.48

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Solution

The fourth proportional to 208,494.81, 287,723.30 and 113,001.48 is: 155,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494.81 : 287,723.30 = 113,001.48 : x
  2. Step 2: Convert to fraction form
    208,494.81/287,723.30 = 113,001.48/x
  3. Step 3: Cross multiply
    208,494.81x = 287,723.30 × 113,001.48
  4. Step 4: Simplify right side
    208,494.81x = 32,513,158,165.48
  5. Step 5: Solve for x
    x = 32,513,158,165.48/208,494.81
  6. Step 6: Final answer
    x = 155,942.29

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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.