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Finding the Fourth Proportional to 138,838.50, 208,090.98 and 63,855.42

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Solution

The fourth proportional to 138,838.50, 208,090.98 and 63,855.42 is: 95,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.50 : 208,090.98 = 63,855.42 : x
  2. Step 2: Convert to fraction form
    138,838.50/208,090.98 = 63,855.42/x
  3. Step 3: Cross multiply
    138,838.50x = 208,090.98 × 63,855.42
  4. Step 4: Simplify right side
    138,838.50x = 13,287,736,926.11
  5. Step 5: Solve for x
    x = 13,287,736,926.11/138,838.50
  6. Step 6: Final answer
    x = 95,706.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.