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Finding the Fourth Proportional to 57,681, 79,599.78 and 31,185

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Solution

The fourth proportional to 57,681, 79,599.78 and 31,185 is: 43,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,681 : 79,599.78 = 31,185 : x
  2. Step 2: Convert to fraction form
    57,681/79,599.78 = 31,185/x
  3. Step 3: Cross multiply
    57,681x = 79,599.78 × 31,185
  4. Step 4: Simplify right side
    57,681x = 2,482,319,139.30
  5. Step 5: Solve for x
    x = 2,482,319,139.30/57,681
  6. Step 6: Final answer
    x = 43,035.30

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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.