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Finding the Fourth Proportional to 142,753.68, 196,994.28 and 79,094.16

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Solution

The fourth proportional to 142,753.68, 196,994.28 and 79,094.16 is: 109,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,753.68 : 196,994.28 = 79,094.16 : x
  2. Step 2: Convert to fraction form
    142,753.68/196,994.28 = 79,094.16/x
  3. Step 3: Cross multiply
    142,753.68x = 196,994.28 × 79,094.16
  4. Step 4: Simplify right side
    142,753.68x = 15,581,097,101.40
  5. Step 5: Solve for x
    x = 15,581,097,101.40/142,753.68
  6. Step 6: Final answer
    x = 109,146.73

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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.