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Finding the Fourth Proportional to 53,489.66, 73,814.04 and 30,828.74

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Solution

The fourth proportional to 53,489.66, 73,814.04 and 30,828.74 is: 42,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.66 : 73,814.04 = 30,828.74 : x
  2. Step 2: Convert to fraction form
    53,489.66/73,814.04 = 30,828.74/x
  3. Step 3: Cross multiply
    53,489.66x = 73,814.04 × 30,828.74
  4. Step 4: Simplify right side
    53,489.66x = 2,275,593,847.51
  5. Step 5: Solve for x
    x = 2,275,593,847.51/53,489.66
  6. Step 6: Final answer
    x = 42,542.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.