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Finding the Fourth Proportional to 160,072, 220,899.36 and 89,416

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Solution

The fourth proportional to 160,072, 220,899.36 and 89,416 is: 123,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,072 : 220,899.36 = 89,416 : x
  2. Step 2: Convert to fraction form
    160,072/220,899.36 = 89,416/x
  3. Step 3: Cross multiply
    160,072x = 220,899.36 × 89,416
  4. Step 4: Simplify right side
    160,072x = 19,751,937,173.76
  5. Step 5: Solve for x
    x = 19,751,937,173.76/160,072
  6. Step 6: Final answer
    x = 123,394.08

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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.