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Finding the Fourth Proportional to 85,754.92, 118,346.01 and 51,762.87

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Solution

The fourth proportional to 85,754.92, 118,346.01 and 51,762.87 is: 71,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,754.92 : 118,346.01 = 51,762.87 : x
  2. Step 2: Convert to fraction form
    85,754.92/118,346.01 = 51,762.87/x
  3. Step 3: Cross multiply
    85,754.92x = 118,346.01 × 51,762.87
  4. Step 4: Simplify right side
    85,754.92x = 6,125,929,130.65
  5. Step 5: Solve for x
    x = 6,125,929,130.65/85,754.92
  6. Step 6: Final answer
    x = 71,435.31

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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.