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Finding the Fourth Proportional to 92,410.12, 138,611.94 and 30,079

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Solution

The fourth proportional to 92,410.12, 138,611.94 and 30,079 is: 45,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,410.12 : 138,611.94 = 30,079 : x
  2. Step 2: Convert to fraction form
    92,410.12/138,611.94 = 30,079/x
  3. Step 3: Cross multiply
    92,410.12x = 138,611.94 × 30,079
  4. Step 4: Simplify right side
    92,410.12x = 4,169,308,543.26
  5. Step 5: Solve for x
    x = 4,169,308,543.26/92,410.12
  6. Step 6: Final answer
    x = 45,117.45

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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.