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Finding the Fourth Proportional to 142,202.63, 196,239.63 and 78,544.53

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Solution

The fourth proportional to 142,202.63, 196,239.63 and 78,544.53 is: 108,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202.63 : 196,239.63 = 78,544.53 : x
  2. Step 2: Convert to fraction form
    142,202.63/196,239.63 = 78,544.53/x
  3. Step 3: Cross multiply
    142,202.63x = 196,239.63 × 78,544.53
  4. Step 4: Simplify right side
    142,202.63x = 15,413,549,505.72
  5. Step 5: Solve for x
    x = 15,413,549,505.72/142,202.63
  6. Step 6: Final answer
    x = 108,391.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.