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Finding the Fourth Proportional to 272,987.70, 409,408.65 and 83,447.70

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Solution

The fourth proportional to 272,987.70, 409,408.65 and 83,447.70 is: 125,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,987.70 : 409,408.65 = 83,447.70 : x
  2. Step 2: Convert to fraction form
    272,987.70/409,408.65 = 83,447.70/x
  3. Step 3: Cross multiply
    272,987.70x = 409,408.65 × 83,447.70
  4. Step 4: Simplify right side
    272,987.70x = 34,164,210,202.61
  5. Step 5: Solve for x
    x = 34,164,210,202.61/272,987.70
  6. Step 6: Final answer
    x = 125,149.27

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1.5x scale

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.