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Finding the Fourth Proportional to 139,509.84, 192,524.95 and 75,849.01

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Solution

The fourth proportional to 139,509.84, 192,524.95 and 75,849.01 is: 104,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,509.84 : 192,524.95 = 75,849.01 : x
  2. Step 2: Convert to fraction form
    139,509.84/192,524.95 = 75,849.01/x
  3. Step 3: Cross multiply
    139,509.84x = 192,524.95 × 75,849.01
  4. Step 4: Simplify right side
    139,509.84x = 14,602,826,471.30
  5. Step 5: Solve for x
    x = 14,602,826,471.30/139,509.84
  6. Step 6: Final answer
    x = 104,672.37

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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.