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Finding the Fourth Proportional to 142,553.05, 213,829.40 and 65,608.31

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Solution

The fourth proportional to 142,553.05, 213,829.40 and 65,608.31 is: 98,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,553.05 : 213,829.40 = 65,608.31 : x
  2. Step 2: Convert to fraction form
    142,553.05/213,829.40 = 65,608.31/x
  3. Step 3: Cross multiply
    142,553.05x = 213,829.40 × 65,608.31
  4. Step 4: Simplify right side
    142,553.05x = 14,028,985,768.85
  5. Step 5: Solve for x
    x = 14,028,985,768.85/142,553.05
  6. Step 6: Final answer
    x = 98,412.39

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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.