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Finding the Fourth Proportional to 138,438.67, 191,030.10 and 78,007.81

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Solution

The fourth proportional to 138,438.67, 191,030.10 and 78,007.81 is: 107,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,438.67 : 191,030.10 = 78,007.81 : x
  2. Step 2: Convert to fraction form
    138,438.67/191,030.10 = 78,007.81/x
  3. Step 3: Cross multiply
    138,438.67x = 191,030.10 × 78,007.81
  4. Step 4: Simplify right side
    138,438.67x = 14,901,839,745.08
  5. Step 5: Solve for x
    x = 14,901,839,745.08/138,438.67
  6. Step 6: Final answer
    x = 107,642.18

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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.