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Finding the Fourth Proportional to 81,420.64, 122,161.72 and 31,503.74

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Solution

The fourth proportional to 81,420.64, 122,161.72 and 31,503.74 is: 47,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420.64 : 122,161.72 = 31,503.74 : x
  2. Step 2: Convert to fraction form
    81,420.64/122,161.72 = 31,503.74/x
  3. Step 3: Cross multiply
    81,420.64x = 122,161.72 × 31,503.74
  4. Step 4: Simplify right side
    81,420.64x = 3,848,550,434.33
  5. Step 5: Solve for x
    x = 3,848,550,434.33/81,420.64
  6. Step 6: Final answer
    x = 47,267.50

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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.