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Finding the Fourth Proportional to 92,646, 138,970.22 and 30,316.50

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Solution

The fourth proportional to 92,646, 138,970.22 and 30,316.50 is: 45,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646 : 138,970.22 = 30,316.50 : x
  2. Step 2: Convert to fraction form
    92,646/138,970.22 = 30,316.50/x
  3. Step 3: Cross multiply
    92,646x = 138,970.22 × 30,316.50
  4. Step 4: Simplify right side
    92,646x = 4,213,090,523.05
  5. Step 5: Solve for x
    x = 4,213,090,523.05/92,646
  6. Step 6: Final answer
    x = 45,475.15

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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.