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Finding the Fourth Proportional to 74,472.40, 102,774.18 and 42,639.40

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Solution

The fourth proportional to 74,472.40, 102,774.18 and 42,639.40 is: 58,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.40 : 102,774.18 = 42,639.40 : x
  2. Step 2: Convert to fraction form
    74,472.40/102,774.18 = 42,639.40/x
  3. Step 3: Cross multiply
    74,472.40x = 102,774.18 × 42,639.40
  4. Step 4: Simplify right side
    74,472.40x = 4,382,229,370.69
  5. Step 5: Solve for x
    x = 4,382,229,370.69/74,472.40
  6. Step 6: Final answer
    x = 58,843.67

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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.