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Finding the Fourth Proportional to 92,614.68, 138,943.98 and 30,285

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Solution

The fourth proportional to 92,614.68, 138,943.98 and 30,285 is: 45,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,614.68 : 138,943.98 = 30,285 : x
  2. Step 2: Convert to fraction form
    92,614.68/138,943.98 = 30,285/x
  3. Step 3: Cross multiply
    92,614.68x = 138,943.98 × 30,285
  4. Step 4: Simplify right side
    92,614.68x = 4,207,918,434.30
  5. Step 5: Solve for x
    x = 4,207,918,434.30/92,614.68
  6. Step 6: Final answer
    x = 45,434.68

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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.