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Finding the Fourth Proportional to 57,234.84, 78,988.86 and 31,749.20

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Solution

The fourth proportional to 57,234.84, 78,988.86 and 31,749.20 is: 43,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.84 : 78,988.86 = 31,749.20 : x
  2. Step 2: Convert to fraction form
    57,234.84/78,988.86 = 31,749.20/x
  3. Step 3: Cross multiply
    57,234.84x = 78,988.86 × 31,749.20
  4. Step 4: Simplify right side
    57,234.84x = 2,507,833,113.91
  5. Step 5: Solve for x
    x = 2,507,833,113.91/57,234.84
  6. Step 6: Final answer
    x = 43,816.55

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1.5x scale

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.