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Finding the Fourth Proportional to 92,488.50, 138,754.62 and 30,159

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Solution

The fourth proportional to 92,488.50, 138,754.62 and 30,159 is: 45,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,488.50 : 138,754.62 = 30,159 : x
  2. Step 2: Convert to fraction form
    92,488.50/138,754.62 = 30,159/x
  3. Step 3: Cross multiply
    92,488.50x = 138,754.62 × 30,159
  4. Step 4: Simplify right side
    92,488.50x = 4,184,700,584.58
  5. Step 5: Solve for x
    x = 4,184,700,584.58/92,488.50
  6. Step 6: Final answer
    x = 45,245.63

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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.