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Finding the Fourth Proportional to 57,710, 79,639.80 and 31,214

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Solution

The fourth proportional to 57,710, 79,639.80 and 31,214 is: 43,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710 : 79,639.80 = 31,214 : x
  2. Step 2: Convert to fraction form
    57,710/79,639.80 = 31,214/x
  3. Step 3: Cross multiply
    57,710x = 79,639.80 × 31,214
  4. Step 4: Simplify right side
    57,710x = 2,485,876,717.20
  5. Step 5: Solve for x
    x = 2,485,876,717.20/57,710
  6. Step 6: Final answer
    x = 43,075.32

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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.