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Finding the Fourth Proportional to 133,213.52, 199,648.02 and 99,670.40

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Solution

The fourth proportional to 133,213.52, 199,648.02 and 99,670.40 is: 149,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.52 : 199,648.02 = 99,670.40 : x
  2. Step 2: Convert to fraction form
    133,213.52/199,648.02 = 99,670.40/x
  3. Step 3: Cross multiply
    133,213.52x = 199,648.02 × 99,670.40
  4. Step 4: Simplify right side
    133,213.52x = 19,898,998,012.61
  5. Step 5: Solve for x
    x = 19,898,998,012.61/133,213.52
  6. Step 6: Final answer
    x = 149,376.72

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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.