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Finding the Fourth Proportional to 139,047.89, 191,886.30 and 75,385.85

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Solution

The fourth proportional to 139,047.89, 191,886.30 and 75,385.85 is: 104,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,047.89 : 191,886.30 = 75,385.85 : x
  2. Step 2: Convert to fraction form
    139,047.89/191,886.30 = 75,385.85/x
  3. Step 3: Cross multiply
    139,047.89x = 191,886.30 × 75,385.85
  4. Step 4: Simplify right side
    139,047.89x = 14,465,510,869.42
  5. Step 5: Solve for x
    x = 14,465,510,869.42/139,047.89
  6. Step 6: Final answer
    x = 104,032.58

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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.