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Finding the Fourth Proportional to 138,700.70, 208,051.05 and 105,523.10

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Solution

The fourth proportional to 138,700.70, 208,051.05 and 105,523.10 is: 158,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700.70 : 208,051.05 = 105,523.10 : x
  2. Step 2: Convert to fraction form
    138,700.70/208,051.05 = 105,523.10/x
  3. Step 3: Cross multiply
    138,700.70x = 208,051.05 × 105,523.10
  4. Step 4: Simplify right side
    138,700.70x = 21,954,191,754.26
  5. Step 5: Solve for x
    x = 21,954,191,754.26/138,700.70
  6. Step 6: Final answer
    x = 158,284.65

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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.