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Finding the Fourth Proportional to 139,643.19, 192,708.05 and 75,981.04

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Solution

The fourth proportional to 139,643.19, 192,708.05 and 75,981.04 is: 104,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,643.19 : 192,708.05 = 75,981.04 : x
  2. Step 2: Convert to fraction form
    139,643.19/192,708.05 = 75,981.04/x
  3. Step 3: Cross multiply
    139,643.19x = 192,708.05 × 75,981.04
  4. Step 4: Simplify right side
    139,643.19x = 14,642,157,193.70
  5. Step 5: Solve for x
    x = 14,642,157,193.70/139,643.19
  6. Step 6: Final answer
    x = 104,854.07

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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.