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Finding the Fourth Proportional to 194,632.70, 291,301.05 and 141,172.70

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Solution

The fourth proportional to 194,632.70, 291,301.05 and 141,172.70 is: 211,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,632.70 : 291,301.05 = 141,172.70 : x
  2. Step 2: Convert to fraction form
    194,632.70/291,301.05 = 141,172.70/x
  3. Step 3: Cross multiply
    194,632.70x = 291,301.05 × 141,172.70
  4. Step 4: Simplify right side
    194,632.70x = 41,123,755,741.34
  5. Step 5: Solve for x
    x = 41,123,755,741.34/194,632.70
  6. Step 6: Final answer
    x = 211,289.04

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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.