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Finding the Fourth Proportional to 160,803.52, 221,836.07 and 100,389.06

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Solution

The fourth proportional to 160,803.52, 221,836.07 and 100,389.06 is: 138,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,803.52 : 221,836.07 = 100,389.06 : x
  2. Step 2: Convert to fraction form
    160,803.52/221,836.07 = 100,389.06/x
  3. Step 3: Cross multiply
    160,803.52x = 221,836.07 × 100,389.06
  4. Step 4: Simplify right side
    160,803.52x = 22,269,914,792.37
  5. Step 5: Solve for x
    x = 22,269,914,792.37/160,803.52
  6. Step 6: Final answer
    x = 138,491.47

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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.