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Finding the Fourth Proportional to 92,409.12, 138,610.44 and 30,078

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Solution

The fourth proportional to 92,409.12, 138,610.44 and 30,078 is: 45,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,409.12 : 138,610.44 = 30,078 : x
  2. Step 2: Convert to fraction form
    92,409.12/138,610.44 = 30,078/x
  3. Step 3: Cross multiply
    92,409.12x = 138,610.44 × 30,078
  4. Step 4: Simplify right side
    92,409.12x = 4,169,124,814.32
  5. Step 5: Solve for x
    x = 4,169,124,814.32/92,409.12
  6. Step 6: Final answer
    x = 45,115.95

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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.