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Finding the Fourth Proportional to 160,740.98, 221,836.13 and 89,144.06

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Solution

The fourth proportional to 160,740.98, 221,836.13 and 89,144.06 is: 123,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,740.98 : 221,836.13 = 89,144.06 : x
  2. Step 2: Convert to fraction form
    160,740.98/221,836.13 = 89,144.06/x
  3. Step 3: Cross multiply
    160,740.98x = 221,836.13 × 89,144.06
  4. Step 4: Simplify right side
    160,740.98x = 19,775,373,391.76
  5. Step 5: Solve for x
    x = 19,775,373,391.76/160,740.98
  6. Step 6: Final answer
    x = 123,026.34

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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.