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Finding the Fourth Proportional to 139,007.95, 191,828.89 and 78,576.47

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Solution

The fourth proportional to 139,007.95, 191,828.89 and 78,576.47 is: 108,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,007.95 : 191,828.89 = 78,576.47 : x
  2. Step 2: Convert to fraction form
    139,007.95/191,828.89 = 78,576.47/x
  3. Step 3: Cross multiply
    139,007.95x = 191,828.89 × 78,576.47
  4. Step 4: Simplify right side
    139,007.95x = 15,073,237,020.22
  5. Step 5: Solve for x
    x = 15,073,237,020.22/139,007.95
  6. Step 6: Final answer
    x = 108,434.35

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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.