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Finding the Fourth Proportional to 106,612, 147,137.52 and 61,900

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Solution

The fourth proportional to 106,612, 147,137.52 and 61,900 is: 85,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,612 : 147,137.52 = 61,900 : x
  2. Step 2: Convert to fraction form
    106,612/147,137.52 = 61,900/x
  3. Step 3: Cross multiply
    106,612x = 147,137.52 × 61,900
  4. Step 4: Simplify right side
    106,612x = 9,107,812,488
  5. Step 5: Solve for x
    x = 9,107,812,488/106,612
  6. Step 6: Final answer
    x = 85,429.52

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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.