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Finding the Fourth Proportional to 35,065, 48,389.70 and 20,161

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Solution

The fourth proportional to 35,065, 48,389.70 and 20,161 is: 27,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,065 : 48,389.70 = 20,161 : x
  2. Step 2: Convert to fraction form
    35,065/48,389.70 = 20,161/x
  3. Step 3: Cross multiply
    35,065x = 48,389.70 × 20,161
  4. Step 4: Simplify right side
    35,065x = 975,584,741.70
  5. Step 5: Solve for x
    x = 975,584,741.70/35,065
  6. Step 6: Final answer
    x = 27,822.18

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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.