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Finding the Fourth Proportional to 57,153.96, 78,868.80 and 31,659.84

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Solution

The fourth proportional to 57,153.96, 78,868.80 and 31,659.84 is: 43,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.96 : 78,868.80 = 31,659.84 : x
  2. Step 2: Convert to fraction form
    57,153.96/78,868.80 = 31,659.84/x
  3. Step 3: Cross multiply
    57,153.96x = 78,868.80 × 31,659.84
  4. Step 4: Simplify right side
    57,153.96x = 2,496,973,588.99
  5. Step 5: Solve for x
    x = 2,496,973,588.99/57,153.96
  6. Step 6: Final answer
    x = 43,688.55

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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.