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Finding the Fourth Proportional to 139,038.20, 191,873.70 and 75,377

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Solution

The fourth proportional to 139,038.20, 191,873.70 and 75,377 is: 104,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,038.20 : 191,873.70 = 75,377 : x
  2. Step 2: Convert to fraction form
    139,038.20/191,873.70 = 75,377/x
  3. Step 3: Cross multiply
    139,038.20x = 191,873.70 × 75,377
  4. Step 4: Simplify right side
    139,038.20x = 14,462,863,884.90
  5. Step 5: Solve for x
    x = 14,462,863,884.90/139,038.20
  6. Step 6: Final answer
    x = 104,020.79

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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.