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Finding the Fourth Proportional to 35,090, 48,424.20 and 20,186

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Solution

The fourth proportional to 35,090, 48,424.20 and 20,186 is: 27,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,090 : 48,424.20 = 20,186 : x
  2. Step 2: Convert to fraction form
    35,090/48,424.20 = 20,186/x
  3. Step 3: Cross multiply
    35,090x = 48,424.20 × 20,186
  4. Step 4: Simplify right side
    35,090x = 977,490,901.20
  5. Step 5: Solve for x
    x = 977,490,901.20/35,090
  6. Step 6: Final answer
    x = 27,856.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.