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Finding the Fourth Proportional to 102,021.93, 152,945.42 and 35,420.49

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Solution

The fourth proportional to 102,021.93, 152,945.42 and 35,420.49 is: 53,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021.93 : 152,945.42 = 35,420.49 : x
  2. Step 2: Convert to fraction form
    102,021.93/152,945.42 = 35,420.49/x
  3. Step 3: Cross multiply
    102,021.93x = 152,945.42 × 35,420.49
  4. Step 4: Simplify right side
    102,021.93x = 5,417,401,542.55
  5. Step 5: Solve for x
    x = 5,417,401,542.55/102,021.93
  6. Step 6: Final answer
    x = 53,100.36

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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.