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Finding the Fourth Proportional to 35,079, 48,410.16 and 20,175

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Solution

The fourth proportional to 35,079, 48,410.16 and 20,175 is: 27,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,079 : 48,410.16 = 20,175 : x
  2. Step 2: Convert to fraction form
    35,079/48,410.16 = 20,175/x
  3. Step 3: Cross multiply
    35,079x = 48,410.16 × 20,175
  4. Step 4: Simplify right side
    35,079x = 976,674,978.00
  5. Step 5: Solve for x
    x = 976,674,978.00/35,079
  6. Step 6: Final answer
    x = 27,842.16

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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.