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Finding the Fourth Proportional to 139,484.16, 192,487.04 and 75,821.76

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Solution

The fourth proportional to 139,484.16, 192,487.04 and 75,821.76 is: 104,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484.16 : 192,487.04 = 75,821.76 : x
  2. Step 2: Convert to fraction form
    139,484.16/192,487.04 = 75,821.76/x
  3. Step 3: Cross multiply
    139,484.16x = 192,487.04 × 75,821.76
  4. Step 4: Simplify right side
    139,484.16x = 14,594,706,149.99
  5. Step 5: Solve for x
    x = 14,594,706,149.99/139,484.16
  6. Step 6: Final answer
    x = 104,633.43

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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.