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Finding the Fourth Proportional to 57,188.93, 78,926.22 and 31,700.81

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Solution

The fourth proportional to 57,188.93, 78,926.22 and 31,700.81 is: 43,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,188.93 : 78,926.22 = 31,700.81 : x
  2. Step 2: Convert to fraction form
    57,188.93/78,926.22 = 31,700.81/x
  3. Step 3: Cross multiply
    57,188.93x = 78,926.22 × 31,700.81
  4. Step 4: Simplify right side
    57,188.93x = 2,502,024,709.61
  5. Step 5: Solve for x
    x = 2,502,024,709.61/57,188.93
  6. Step 6: Final answer
    x = 43,750.16

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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.