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Finding the Fourth Proportional to 85,277.66, 127,750.26 and 51,914.98

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Solution

The fourth proportional to 85,277.66, 127,750.26 and 51,914.98 is: 77,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,277.66 : 127,750.26 = 51,914.98 : x
  2. Step 2: Convert to fraction form
    85,277.66/127,750.26 = 51,914.98/x
  3. Step 3: Cross multiply
    85,277.66x = 127,750.26 × 51,914.98
  4. Step 4: Simplify right side
    85,277.66x = 6,632,151,828.67
  5. Step 5: Solve for x
    x = 6,632,151,828.67/85,277.66
  6. Step 6: Final answer
    x = 77,771.27

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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.