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Finding the Fourth Proportional to 160,768.48, 221,859.24 and 89,148.68

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Solution

The fourth proportional to 160,768.48, 221,859.24 and 89,148.68 is: 123,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,768.48 : 221,859.24 = 89,148.68 : x
  2. Step 2: Convert to fraction form
    160,768.48/221,859.24 = 89,148.68/x
  3. Step 3: Cross multiply
    160,768.48x = 221,859.24 × 89,148.68
  4. Step 4: Simplify right side
    160,768.48x = 19,778,458,391.80
  5. Step 5: Solve for x
    x = 19,778,458,391.80/160,768.48
  6. Step 6: Final answer
    x = 123,024.48

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1.5x scale

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.