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Finding the Fourth Proportional to 139,089.16, 191,941.68 and 75,425.86

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Solution

The fourth proportional to 139,089.16, 191,941.68 and 75,425.86 is: 104,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,089.16 : 191,941.68 = 75,425.86 : x
  2. Step 2: Convert to fraction form
    139,089.16/191,941.68 = 75,425.86/x
  3. Step 3: Cross multiply
    139,089.16x = 191,941.68 × 75,425.86
  4. Step 4: Simplify right side
    139,089.16x = 14,477,366,283.84
  5. Step 5: Solve for x
    x = 14,477,366,283.84/139,089.16
  6. Step 6: Final answer
    x = 104,086.95

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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.