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Finding the Fourth Proportional to 138,506.94, 191,097.05 and 84,735.90

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Solution

The fourth proportional to 138,506.94, 191,097.05 and 84,735.90 is: 116,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.94 : 191,097.05 = 84,735.90 : x
  2. Step 2: Convert to fraction form
    138,506.94/191,097.05 = 84,735.90/x
  3. Step 3: Cross multiply
    138,506.94x = 191,097.05 × 84,735.90
  4. Step 4: Simplify right side
    138,506.94x = 16,192,780,095.42
  5. Step 5: Solve for x
    x = 16,192,780,095.42/138,506.94
  6. Step 6: Final answer
    x = 116,909.52

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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.