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Finding the Fourth Proportional to 92,649.60, 138,961.44 and 30,312

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Solution

The fourth proportional to 92,649.60, 138,961.44 and 30,312 is: 45,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,649.60 : 138,961.44 = 30,312 : x
  2. Step 2: Convert to fraction form
    92,649.60/138,961.44 = 30,312/x
  3. Step 3: Cross multiply
    92,649.60x = 138,961.44 × 30,312
  4. Step 4: Simplify right side
    92,649.60x = 4,212,199,169.28
  5. Step 5: Solve for x
    x = 4,212,199,169.28/92,649.60
  6. Step 6: Final answer
    x = 45,463.76

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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.