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Finding the Fourth Proportional to 208,690.74, 287,991.18 and 113,196.06

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Solution

The fourth proportional to 208,690.74, 287,991.18 and 113,196.06 is: 156,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,690.74 : 287,991.18 = 113,196.06 : x
  2. Step 2: Convert to fraction form
    208,690.74/287,991.18 = 113,196.06/x
  3. Step 3: Cross multiply
    208,690.74x = 287,991.18 × 113,196.06
  4. Step 4: Simplify right side
    208,690.74x = 32,599,466,890.75
  5. Step 5: Solve for x
    x = 32,599,466,890.75/208,690.74
  6. Step 6: Final answer
    x = 156,209.46

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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.