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Finding the Fourth Proportional to 58,224, 80,349.12 and 31,728

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Solution

The fourth proportional to 58,224, 80,349.12 and 31,728 is: 43,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,224 : 80,349.12 = 31,728 : x
  2. Step 2: Convert to fraction form
    58,224/80,349.12 = 31,728/x
  3. Step 3: Cross multiply
    58,224x = 80,349.12 × 31,728
  4. Step 4: Simplify right side
    58,224x = 2,549,316,879.36
  5. Step 5: Solve for x
    x = 2,549,316,879.36/58,224
  6. Step 6: Final answer
    x = 43,784.64

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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.