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Finding the Fourth Proportional to 139,521.60, 192,537.54 and 75,861

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Solution

The fourth proportional to 139,521.60, 192,537.54 and 75,861 is: 104,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,521.60 : 192,537.54 = 75,861 : x
  2. Step 2: Convert to fraction form
    139,521.60/192,537.54 = 75,861/x
  3. Step 3: Cross multiply
    139,521.60x = 192,537.54 × 75,861
  4. Step 4: Simplify right side
    139,521.60x = 14,606,090,321.94
  5. Step 5: Solve for x
    x = 14,606,090,321.94/139,521.60
  6. Step 6: Final answer
    x = 104,686.95

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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.