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Finding the Fourth Proportional to 135,636, 203,454.04 and 42,141.76

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Solution

The fourth proportional to 135,636, 203,454.04 and 42,141.76 is: 63,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,636 : 203,454.04 = 42,141.76 : x
  2. Step 2: Convert to fraction form
    135,636/203,454.04 = 42,141.76/x
  3. Step 3: Cross multiply
    135,636x = 203,454.04 × 42,141.76
  4. Step 4: Simplify right side
    135,636x = 8,573,911,324.71
  5. Step 5: Solve for x
    x = 8,573,911,324.71/135,636
  6. Step 6: Final answer
    x = 63,212.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.