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Finding the Fourth Proportional to 106,615, 147,141.66 and 61,903

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Solution

The fourth proportional to 106,615, 147,141.66 and 61,903 is: 85,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615 : 147,141.66 = 61,903 : x
  2. Step 2: Convert to fraction form
    106,615/147,141.66 = 61,903/x
  3. Step 3: Cross multiply
    106,615x = 147,141.66 × 61,903
  4. Step 4: Simplify right side
    106,615x = 9,108,510,178.98
  5. Step 5: Solve for x
    x = 9,108,510,178.98/106,615
  6. Step 6: Final answer
    x = 85,433.66

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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.