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Finding the Fourth Proportional to 102,715.96, 141,739.96 and 56,773.68

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Solution

The fourth proportional to 102,715.96, 141,739.96 and 56,773.68 is: 78,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,715.96 : 141,739.96 = 56,773.68 : x
  2. Step 2: Convert to fraction form
    102,715.96/141,739.96 = 56,773.68/x
  3. Step 3: Cross multiply
    102,715.96x = 141,739.96 × 56,773.68
  4. Step 4: Simplify right side
    102,715.96x = 8,047,098,512.14
  5. Step 5: Solve for x
    x = 8,047,098,512.14/102,715.96
  6. Step 6: Final answer
    x = 78,343.21

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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.