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Finding the Fourth Proportional to 159,782.40, 239,491.45 and 99,838.54

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Solution

The fourth proportional to 159,782.40, 239,491.45 and 99,838.54 is: 149,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782.40 : 239,491.45 = 99,838.54 : x
  2. Step 2: Convert to fraction form
    159,782.40/239,491.45 = 99,838.54/x
  3. Step 3: Cross multiply
    159,782.40x = 239,491.45 × 99,838.54
  4. Step 4: Simplify right side
    159,782.40x = 23,910,476,710.48
  5. Step 5: Solve for x
    x = 23,910,476,710.48/159,782.40
  6. Step 6: Final answer
    x = 149,644.00

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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.