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Finding the Fourth Proportional to 142,606.60, 196,799.44 and 78,074.76

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Solution

The fourth proportional to 142,606.60, 196,799.44 and 78,074.76 is: 107,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606.60 : 196,799.44 = 78,074.76 : x
  2. Step 2: Convert to fraction form
    142,606.60/196,799.44 = 78,074.76/x
  3. Step 3: Cross multiply
    142,606.60x = 196,799.44 × 78,074.76
  4. Step 4: Simplify right side
    142,606.60x = 15,365,069,046.13
  5. Step 5: Solve for x
    x = 15,365,069,046.13/142,606.60
  6. Step 6: Final answer
    x = 107,744.45

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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.