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Finding the Fourth Proportional to 160,633.84, 221,672.10 and 89,013.64

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Solution

The fourth proportional to 160,633.84, 221,672.10 and 89,013.64 is: 122,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,633.84 : 221,672.10 = 89,013.64 : x
  2. Step 2: Convert to fraction form
    160,633.84/221,672.10 = 89,013.64/x
  3. Step 3: Cross multiply
    160,633.84x = 221,672.10 × 89,013.64
  4. Step 4: Simplify right side
    160,633.84x = 19,731,840,507.44
  5. Step 5: Solve for x
    x = 19,731,840,507.44/160,633.84
  6. Step 6: Final answer
    x = 122,837.38

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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.