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Finding the Fourth Proportional to 101,983.60, 140,740.50 and 61,704.76

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Solution

The fourth proportional to 101,983.60, 140,740.50 and 61,704.76 is: 85,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,983.60 : 140,740.50 = 61,704.76 : x
  2. Step 2: Convert to fraction form
    101,983.60/140,740.50 = 61,704.76/x
  3. Step 3: Cross multiply
    101,983.60x = 140,740.50 × 61,704.76
  4. Step 4: Simplify right side
    101,983.60x = 8,684,358,774.78
  5. Step 5: Solve for x
    x = 8,684,358,774.78/101,983.60
  6. Step 6: Final answer
    x = 85,154.46

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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.