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Finding the Fourth Proportional to 160,196.40, 240,221.70 and 85,297.32

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Solution

The fourth proportional to 160,196.40, 240,221.70 and 85,297.32 is: 127,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,196.40 : 240,221.70 = 85,297.32 : x
  2. Step 2: Convert to fraction form
    160,196.40/240,221.70 = 85,297.32/x
  3. Step 3: Cross multiply
    160,196.40x = 240,221.70 × 85,297.32
  4. Step 4: Simplify right side
    160,196.40x = 20,490,267,215.84
  5. Step 5: Solve for x
    x = 20,490,267,215.84/160,196.40
  6. Step 6: Final answer
    x = 127,907.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.