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Finding the Fourth Proportional to 159,740.78, 239,407.65 and 84,896.78

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Solution

The fourth proportional to 159,740.78, 239,407.65 and 84,896.78 is: 127,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,740.78 : 239,407.65 = 84,896.78 : x
  2. Step 2: Convert to fraction form
    159,740.78/239,407.65 = 84,896.78/x
  3. Step 3: Cross multiply
    159,740.78x = 239,407.65 × 84,896.78
  4. Step 4: Simplify right side
    159,740.78x = 20,324,937,395.33
  5. Step 5: Solve for x
    x = 20,324,937,395.33/159,740.78
  6. Step 6: Final answer
    x = 127,237.00

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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.