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Finding the Fourth Proportional to 53,066, 73,231.08 and 30,710

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Solution

The fourth proportional to 53,066, 73,231.08 and 30,710 is: 42,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,066 : 73,231.08 = 30,710 : x
  2. Step 2: Convert to fraction form
    53,066/73,231.08 = 30,710/x
  3. Step 3: Cross multiply
    53,066x = 73,231.08 × 30,710
  4. Step 4: Simplify right side
    53,066x = 2,248,926,466.80
  5. Step 5: Solve for x
    x = 2,248,926,466.80/53,066
  6. Step 6: Final answer
    x = 42,379.80

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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.