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Finding the Fourth Proportional to 84,009.60, 126,014.40 and 31,408.20

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Solution

The fourth proportional to 84,009.60, 126,014.40 and 31,408.20 is: 47,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.60 : 126,014.40 = 31,408.20 : x
  2. Step 2: Convert to fraction form
    84,009.60/126,014.40 = 31,408.20/x
  3. Step 3: Cross multiply
    84,009.60x = 126,014.40 × 31,408.20
  4. Step 4: Simplify right side
    84,009.60x = 3,957,885,478.08
  5. Step 5: Solve for x
    x = 3,957,885,478.08/84,009.60
  6. Step 6: Final answer
    x = 47,112.30

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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.