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Finding the Fourth Proportional to 147,493.96, 221,178.54 and 80,915.08

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Solution

The fourth proportional to 147,493.96, 221,178.54 and 80,915.08 is: 121,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,493.96 : 221,178.54 = 80,915.08 : x
  2. Step 2: Convert to fraction form
    147,493.96/221,178.54 = 80,915.08/x
  3. Step 3: Cross multiply
    147,493.96x = 221,178.54 × 80,915.08
  4. Step 4: Simplify right side
    147,493.96x = 17,896,679,258.38
  5. Step 5: Solve for x
    x = 17,896,679,258.38/147,493.96
  6. Step 6: Final answer
    x = 121,338.39

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Why These Related Problems?

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