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Finding the Fourth Proportional to 243,074, 335,442.19 and 134,178.40

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Solution

The fourth proportional to 243,074, 335,442.19 and 134,178.40 is: 185,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,074 : 335,442.19 = 134,178.40 : x
  2. Step 2: Convert to fraction form
    243,074/335,442.19 = 134,178.40/x
  3. Step 3: Cross multiply
    243,074x = 335,442.19 × 134,178.40
  4. Step 4: Simplify right side
    243,074x = 45,009,096,346.70
  5. Step 5: Solve for x
    x = 45,009,096,346.70/243,074
  6. Step 6: Final answer
    x = 185,166.23

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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.