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Finding the Fourth Proportional to 139,632.59, 192,690.07 and 75,970.64

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Solution

The fourth proportional to 139,632.59, 192,690.07 and 75,970.64 is: 104,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,632.59 : 192,690.07 = 75,970.64 : x
  2. Step 2: Convert to fraction form
    139,632.59/192,690.07 = 75,970.64/x
  3. Step 3: Cross multiply
    139,632.59x = 192,690.07 × 75,970.64
  4. Step 4: Simplify right side
    139,632.59x = 14,638,786,786.17
  5. Step 5: Solve for x
    x = 14,638,786,786.17/139,632.59
  6. Step 6: Final answer
    x = 104,837.90

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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.