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Finding the Fourth Proportional to 51,457.62, 77,149.98 and 19,840.89

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Solution

The fourth proportional to 51,457.62, 77,149.98 and 19,840.89 is: 29,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457.62 : 77,149.98 = 19,840.89 : x
  2. Step 2: Convert to fraction form
    51,457.62/77,149.98 = 19,840.89/x
  3. Step 3: Cross multiply
    51,457.62x = 77,149.98 × 19,840.89
  4. Step 4: Simplify right side
    51,457.62x = 1,530,724,266.68
  5. Step 5: Solve for x
    x = 1,530,724,266.68/51,457.62
  6. Step 6: Final answer
    x = 29,747.28

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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.