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Finding the Fourth Proportional to 299,164.42, 448,743.17 and 85,937.56

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Solution

The fourth proportional to 299,164.42, 448,743.17 and 85,937.56 is: 128,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.42 : 448,743.17 = 85,937.56 : x
  2. Step 2: Convert to fraction form
    299,164.42/448,743.17 = 85,937.56/x
  3. Step 3: Cross multiply
    299,164.42x = 448,743.17 × 85,937.56
  4. Step 4: Simplify right side
    299,164.42x = 38,563,890,423.06
  5. Step 5: Solve for x
    x = 38,563,890,423.06/299,164.42
  6. Step 6: Final answer
    x = 128,905.34

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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.