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Finding the Fourth Proportional to 53,615.76, 80,462.52 and 30,287.76

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Solution

The fourth proportional to 53,615.76, 80,462.52 and 30,287.76 is: 45,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.76 : 80,462.52 = 30,287.76 : x
  2. Step 2: Convert to fraction form
    53,615.76/80,462.52 = 30,287.76/x
  3. Step 3: Cross multiply
    53,615.76x = 80,462.52 × 30,287.76
  4. Step 4: Simplify right side
    53,615.76x = 2,437,029,494.76
  5. Step 5: Solve for x
    x = 2,437,029,494.76/53,615.76
  6. Step 6: Final answer
    x = 45,453.60

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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.