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Finding the Fourth Proportional to 208,686.41, 287,987.74 and 113,193.10

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Solution

The fourth proportional to 208,686.41, 287,987.74 and 113,193.10 is: 156,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,686.41 : 287,987.74 = 113,193.10 : x
  2. Step 2: Convert to fraction form
    208,686.41/287,987.74 = 113,193.10/x
  3. Step 3: Cross multiply
    208,686.41x = 287,987.74 × 113,193.10
  4. Step 4: Simplify right side
    208,686.41x = 32,598,224,049.64
  5. Step 5: Solve for x
    x = 32,598,224,049.64/208,686.41
  6. Step 6: Final answer
    x = 156,206.74

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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.