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Finding the Fourth Proportional to 84,355.40, 126,581.70 and 31,802.60

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Solution

The fourth proportional to 84,355.40, 126,581.70 and 31,802.60 is: 47,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,355.40 : 126,581.70 = 31,802.60 : x
  2. Step 2: Convert to fraction form
    84,355.40/126,581.70 = 31,802.60/x
  3. Step 3: Cross multiply
    84,355.40x = 126,581.70 × 31,802.60
  4. Step 4: Simplify right side
    84,355.40x = 4,025,627,172.42
  5. Step 5: Solve for x
    x = 4,025,627,172.42/84,355.40
  6. Step 6: Final answer
    x = 47,722.22

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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.