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Finding the Fourth Proportional to 74,536.76, 102,859.06 and 42,724.40

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Solution

The fourth proportional to 74,536.76, 102,859.06 and 42,724.40 is: 58,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536.76 : 102,859.06 = 42,724.40 : x
  2. Step 2: Convert to fraction form
    74,536.76/102,859.06 = 42,724.40/x
  3. Step 3: Cross multiply
    74,536.76x = 102,859.06 × 42,724.40
  4. Step 4: Simplify right side
    74,536.76x = 4,394,591,623.06
  5. Step 5: Solve for x
    x = 4,394,591,623.06/74,536.76
  6. Step 6: Final answer
    x = 58,958.72

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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.