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Finding the Fourth Proportional to 92,489.50, 138,756.12 and 30,160

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Solution

The fourth proportional to 92,489.50, 138,756.12 and 30,160 is: 45,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,489.50 : 138,756.12 = 30,160 : x
  2. Step 2: Convert to fraction form
    92,489.50/138,756.12 = 30,160/x
  3. Step 3: Cross multiply
    92,489.50x = 138,756.12 × 30,160
  4. Step 4: Simplify right side
    92,489.50x = 4,184,884,579.20
  5. Step 5: Solve for x
    x = 4,184,884,579.20/92,489.50
  6. Step 6: Final answer
    x = 45,247.13

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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.