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Finding the Fourth Proportional to 85,175.69, 127,666.67 and 51,822.25

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Solution

The fourth proportional to 85,175.69, 127,666.67 and 51,822.25 is: 77,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,175.69 : 127,666.67 = 51,822.25 : x
  2. Step 2: Convert to fraction form
    85,175.69/127,666.67 = 51,822.25/x
  3. Step 3: Cross multiply
    85,175.69x = 127,666.67 × 51,822.25
  4. Step 4: Simplify right side
    85,175.69x = 6,615,973,511.13
  5. Step 5: Solve for x
    x = 6,615,973,511.13/85,175.69
  6. Step 6: Final answer
    x = 77,674.44

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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.