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Finding the Fourth Proportional to 139,001.82, 191,820.43 and 78,570.34

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Solution

The fourth proportional to 139,001.82, 191,820.43 and 78,570.34 is: 108,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,001.82 : 191,820.43 = 78,570.34 : x
  2. Step 2: Convert to fraction form
    139,001.82/191,820.43 = 78,570.34/x
  3. Step 3: Cross multiply
    139,001.82x = 191,820.43 × 78,570.34
  4. Step 4: Simplify right side
    139,001.82x = 15,071,396,022.71
  5. Step 5: Solve for x
    x = 15,071,396,022.71/139,001.82
  6. Step 6: Final answer
    x = 108,425.89

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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.