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Finding the Fourth Proportional to 160,221, 221,101.32 and 88,601.61

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Solution

The fourth proportional to 160,221, 221,101.32 and 88,601.61 is: 122,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,221 : 221,101.32 = 88,601.61 : x
  2. Step 2: Convert to fraction form
    160,221/221,101.32 = 88,601.61/x
  3. Step 3: Cross multiply
    160,221x = 221,101.32 × 88,601.61
  4. Step 4: Simplify right side
    160,221x = 19,589,932,925.13
  5. Step 5: Solve for x
    x = 19,589,932,925.13/160,221
  6. Step 6: Final answer
    x = 122,268.20

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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.