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Finding the Fourth Proportional to 193,416, 290,280 and 99,948.48

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Solution

The fourth proportional to 193,416, 290,280 and 99,948.48 is: 150,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,416 : 290,280 = 99,948.48 : x
  2. Step 2: Convert to fraction form
    193,416/290,280 = 99,948.48/x
  3. Step 3: Cross multiply
    193,416x = 290,280 × 99,948.48
  4. Step 4: Simplify right side
    193,416x = 29,013,044,774.40
  5. Step 5: Solve for x
    x = 29,013,044,774.40/193,416
  6. Step 6: Final answer
    x = 150,003.33

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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.