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Finding the Fourth Proportional to 138,956.04, 208,496.94 and 54,693

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Solution

The fourth proportional to 138,956.04, 208,496.94 and 54,693 is: 82,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956.04 : 208,496.94 = 54,693 : x
  2. Step 2: Convert to fraction form
    138,956.04/208,496.94 = 54,693/x
  3. Step 3: Cross multiply
    138,956.04x = 208,496.94 × 54,693
  4. Step 4: Simplify right side
    138,956.04x = 11,403,323,139.42
  5. Step 5: Solve for x
    x = 11,403,323,139.42/138,956.04
  6. Step 6: Final answer
    x = 82,064.25

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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.