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Finding the Fourth Proportional to 268,903.59, 371,079.75 and 148,045.78

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Solution

The fourth proportional to 268,903.59, 371,079.75 and 148,045.78 is: 204,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,903.59 : 371,079.75 = 148,045.78 : x
  2. Step 2: Convert to fraction form
    268,903.59/371,079.75 = 148,045.78/x
  3. Step 3: Cross multiply
    268,903.59x = 371,079.75 × 148,045.78
  4. Step 4: Simplify right side
    268,903.59x = 54,936,791,030.96
  5. Step 5: Solve for x
    x = 54,936,791,030.96/268,903.59
  6. Step 6: Final answer
    x = 204,299.21

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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.