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Finding the Fourth Proportional to 106,606, 147,129.24 and 61,894

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Solution

The fourth proportional to 106,606, 147,129.24 and 61,894 is: 85,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606 : 147,129.24 = 61,894 : x
  2. Step 2: Convert to fraction form
    106,606/147,129.24 = 61,894/x
  3. Step 3: Cross multiply
    106,606x = 147,129.24 × 61,894
  4. Step 4: Simplify right side
    106,606x = 9,106,417,180.56
  5. Step 5: Solve for x
    x = 9,106,417,180.56/106,606
  6. Step 6: Final answer
    x = 85,421.24

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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.