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Finding the Fourth Proportional to 268,980.66, 371,178.78 and 148,099.14

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Solution

The fourth proportional to 268,980.66, 371,178.78 and 148,099.14 is: 204,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,980.66 : 371,178.78 = 148,099.14 : x
  2. Step 2: Convert to fraction form
    268,980.66/371,178.78 = 148,099.14/x
  3. Step 3: Cross multiply
    268,980.66x = 371,178.78 × 148,099.14
  4. Step 4: Simplify right side
    268,980.66x = 54,971,258,104.25
  5. Step 5: Solve for x
    x = 54,971,258,104.25/268,980.66
  6. Step 6: Final answer
    x = 204,368.81

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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.