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Finding the Fourth Proportional to 74,729.36, 112,090.08 and 27,978.68

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Solution

The fourth proportional to 74,729.36, 112,090.08 and 27,978.68 is: 41,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,729.36 : 112,090.08 = 27,978.68 : x
  2. Step 2: Convert to fraction form
    74,729.36/112,090.08 = 27,978.68/x
  3. Step 3: Cross multiply
    74,729.36x = 112,090.08 × 27,978.68
  4. Step 4: Simplify right side
    74,729.36x = 3,136,132,479.49
  5. Step 5: Solve for x
    x = 3,136,132,479.49/74,729.36
  6. Step 6: Final answer
    x = 41,966.54

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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.