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Finding the Fourth Proportional to 102,704.70, 141,656.67 and 64,942.50

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Solution

The fourth proportional to 102,704.70, 141,656.67 and 64,942.50 is: 89,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.70 : 141,656.67 = 64,942.50 : x
  2. Step 2: Convert to fraction form
    102,704.70/141,656.67 = 64,942.50/x
  3. Step 3: Cross multiply
    102,704.70x = 141,656.67 × 64,942.50
  4. Step 4: Simplify right side
    102,704.70x = 9,199,538,291.48
  5. Step 5: Solve for x
    x = 9,199,538,291.48/102,704.70
  6. Step 6: Final answer
    x = 89,572.71

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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.