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Finding the Fourth Proportional to 238,649.70, 357,972.93 and 80,989.14

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Solution

The fourth proportional to 238,649.70, 357,972.93 and 80,989.14 is: 121,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,649.70 : 357,972.93 = 80,989.14 : x
  2. Step 2: Convert to fraction form
    238,649.70/357,972.93 = 80,989.14/x
  3. Step 3: Cross multiply
    238,649.70x = 357,972.93 × 80,989.14
  4. Step 4: Simplify right side
    238,649.70x = 28,991,919,743.98
  5. Step 5: Solve for x
    x = 28,991,919,743.98/238,649.70
  6. Step 6: Final answer
    x = 121,483.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.