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Finding the Fourth Proportional to 272,667.42, 409,084.49 and 139,641.80

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Solution

The fourth proportional to 272,667.42, 409,084.49 and 139,641.80 is: 209,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,667.42 : 409,084.49 = 139,641.80 : x
  2. Step 2: Convert to fraction form
    272,667.42/409,084.49 = 139,641.80/x
  3. Step 3: Cross multiply
    272,667.42x = 409,084.49 × 139,641.80
  4. Step 4: Simplify right side
    272,667.42x = 57,125,292,839.36
  5. Step 5: Solve for x
    x = 57,125,292,839.36/272,667.42
  6. Step 6: Final answer
    x = 209,505.39

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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.