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Finding the Fourth Proportional to 106,861, 147,455.42 and 59,107.86

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Solution

The fourth proportional to 106,861, 147,455.42 and 59,107.86 is: 81,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,861 : 147,455.42 = 59,107.86 : x
  2. Step 2: Convert to fraction form
    106,861/147,455.42 = 59,107.86/x
  3. Step 3: Cross multiply
    106,861x = 147,455.42 × 59,107.86
  4. Step 4: Simplify right side
    106,861x = 8,715,774,321.60
  5. Step 5: Solve for x
    x = 8,715,774,321.60/106,861
  6. Step 6: Final answer
    x = 81,561.79

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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.