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Finding the Fourth Proportional to 208,987.61, 288,491.20 and 141,096.56

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Solution

The fourth proportional to 208,987.61, 288,491.20 and 141,096.56 is: 194,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.61 : 288,491.20 = 141,096.56 : x
  2. Step 2: Convert to fraction form
    208,987.61/288,491.20 = 141,096.56/x
  3. Step 3: Cross multiply
    208,987.61x = 288,491.20 × 141,096.56
  4. Step 4: Simplify right side
    208,987.61x = 40,705,114,115.07
  5. Step 5: Solve for x
    x = 40,705,114,115.07/208,987.61
  6. Step 6: Final answer
    x = 194,772.86

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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.