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Finding the Fourth Proportional to 160,076, 220,904.88 and 89,420

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Solution

The fourth proportional to 160,076, 220,904.88 and 89,420 is: 123,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,076 : 220,904.88 = 89,420 : x
  2. Step 2: Convert to fraction form
    160,076/220,904.88 = 89,420/x
  3. Step 3: Cross multiply
    160,076x = 220,904.88 × 89,420
  4. Step 4: Simplify right side
    160,076x = 19,753,314,369.60
  5. Step 5: Solve for x
    x = 19,753,314,369.60/160,076
  6. Step 6: Final answer
    x = 123,399.60

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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.