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Finding the Fourth Proportional to 56,971.84, 78,620.86 and 31,478.20

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Solution

The fourth proportional to 56,971.84, 78,620.86 and 31,478.20 is: 43,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.84 : 78,620.86 = 31,478.20 : x
  2. Step 2: Convert to fraction form
    56,971.84/78,620.86 = 31,478.20/x
  3. Step 3: Cross multiply
    56,971.84x = 78,620.86 × 31,478.20
  4. Step 4: Simplify right side
    56,971.84x = 2,474,843,155.25
  5. Step 5: Solve for x
    x = 2,474,843,155.25/56,971.84
  6. Step 6: Final answer
    x = 43,439.76

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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.