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Finding the Fourth Proportional to 53,903.90, 80,870.43 and 30,546.74

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Solution

The fourth proportional to 53,903.90, 80,870.43 and 30,546.74 is: 45,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.90 : 80,870.43 = 30,546.74 : x
  2. Step 2: Convert to fraction form
    53,903.90/80,870.43 = 30,546.74/x
  3. Step 3: Cross multiply
    53,903.90x = 80,870.43 × 30,546.74
  4. Step 4: Simplify right side
    53,903.90x = 2,470,327,594.55
  5. Step 5: Solve for x
    x = 2,470,327,594.55/53,903.90
  6. Step 6: Final answer
    x = 45,828.37

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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.