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Finding the Fourth Proportional to 139,489.95, 192,497.37 and 75,827.85

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Solution

The fourth proportional to 139,489.95, 192,497.37 and 75,827.85 is: 104,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,489.95 : 192,497.37 = 75,827.85 : x
  2. Step 2: Convert to fraction form
    139,489.95/192,497.37 = 75,827.85/x
  3. Step 3: Cross multiply
    139,489.95x = 192,497.37 × 75,827.85
  4. Step 4: Simplify right side
    139,489.95x = 14,596,661,697.75
  5. Step 5: Solve for x
    x = 14,596,661,697.75/139,489.95
  6. Step 6: Final answer
    x = 104,643.11

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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.