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Finding the Fourth Proportional to 139,003.13, 191,827.26 and 78,570.17

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Solution

The fourth proportional to 139,003.13, 191,827.26 and 78,570.17 is: 108,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,003.13 : 191,827.26 = 78,570.17 : x
  2. Step 2: Convert to fraction form
    139,003.13/191,827.26 = 78,570.17/x
  3. Step 3: Cross multiply
    139,003.13x = 191,827.26 × 78,570.17
  4. Step 4: Simplify right side
    139,003.13x = 15,071,899,469.70
  5. Step 5: Solve for x
    x = 15,071,899,469.70/139,003.13
  6. Step 6: Final answer
    x = 108,428.49

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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.