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Finding the Fourth Proportional to 142,796, 197,066.34 and 79,132.40

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Solution

The fourth proportional to 142,796, 197,066.34 and 79,132.40 is: 109,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,796 : 197,066.34 = 79,132.40 : x
  2. Step 2: Convert to fraction form
    142,796/197,066.34 = 79,132.40/x
  3. Step 3: Cross multiply
    142,796x = 197,066.34 × 79,132.40
  4. Step 4: Simplify right side
    142,796x = 15,594,332,443.42
  5. Step 5: Solve for x
    x = 15,594,332,443.42/142,796
  6. Step 6: Final answer
    x = 109,207.07

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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.