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Finding the Fourth Proportional to 51,166.94, 70,591.64 and 31,009.28

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Solution

The fourth proportional to 51,166.94, 70,591.64 and 31,009.28 is: 42,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.94 : 70,591.64 = 31,009.28 : x
  2. Step 2: Convert to fraction form
    51,166.94/70,591.64 = 31,009.28/x
  3. Step 3: Cross multiply
    51,166.94x = 70,591.64 × 31,009.28
  4. Step 4: Simplify right side
    51,166.94x = 2,188,995,930.42
  5. Step 5: Solve for x
    x = 2,188,995,930.42/51,166.94
  6. Step 6: Final answer
    x = 42,781.45

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