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Finding the Fourth Proportional to 142,656.42, 196,865.87 and 78,994.22

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Solution

The fourth proportional to 142,656.42, 196,865.87 and 78,994.22 is: 109,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656.42 : 196,865.87 = 78,994.22 : x
  2. Step 2: Convert to fraction form
    142,656.42/196,865.87 = 78,994.22/x
  3. Step 3: Cross multiply
    142,656.42x = 196,865.87 × 78,994.22
  4. Step 4: Simplify right side
    142,656.42x = 15,551,264,465.97
  5. Step 5: Solve for x
    x = 15,551,264,465.97/142,656.42
  6. Step 6: Final answer
    x = 109,012.02

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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.