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Finding the Fourth Proportional to 138,700, 191,431.96 and 79,084

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Solution

The fourth proportional to 138,700, 191,431.96 and 79,084 is: 109,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700 : 191,431.96 = 79,084 : x
  2. Step 2: Convert to fraction form
    138,700/191,431.96 = 79,084/x
  3. Step 3: Cross multiply
    138,700x = 191,431.96 × 79,084
  4. Step 4: Simplify right side
    138,700x = 15,139,205,124.64
  5. Step 5: Solve for x
    x = 15,139,205,124.64/138,700
  6. Step 6: Final answer
    x = 109,150.72

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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.