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Finding the Fourth Proportional to 142,652.88, 196,858.56 and 78,989.31

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Solution

The fourth proportional to 142,652.88, 196,858.56 and 78,989.31 is: 109,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.88 : 196,858.56 = 78,989.31 : x
  2. Step 2: Convert to fraction form
    142,652.88/196,858.56 = 78,989.31/x
  3. Step 3: Cross multiply
    142,652.88x = 196,858.56 × 78,989.31
  4. Step 4: Simplify right side
    142,652.88x = 15,549,721,821.99
  5. Step 5: Solve for x
    x = 15,549,721,821.99/142,652.88
  6. Step 6: Final answer
    x = 109,003.91

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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.