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Finding the Fourth Proportional to 157,969.76, 236,744.40 and 77,885.48

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Solution

The fourth proportional to 157,969.76, 236,744.40 and 77,885.48 is: 116,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.76 : 236,744.40 = 77,885.48 : x
  2. Step 2: Convert to fraction form
    157,969.76/236,744.40 = 77,885.48/x
  3. Step 3: Cross multiply
    157,969.76x = 236,744.40 × 77,885.48
  4. Step 4: Simplify right side
    157,969.76x = 18,438,951,231.31
  5. Step 5: Solve for x
    x = 18,438,951,231.31/157,969.76
  6. Step 6: Final answer
    x = 116,724.56

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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.