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Finding the Fourth Proportional to 100,056, 138,090.24 and 57,607.68

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Solution

The fourth proportional to 100,056, 138,090.24 and 57,607.68 is: 79,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056 : 138,090.24 = 57,607.68 : x
  2. Step 2: Convert to fraction form
    100,056/138,090.24 = 57,607.68/x
  3. Step 3: Cross multiply
    100,056x = 138,090.24 × 57,607.68
  4. Step 4: Simplify right side
    100,056x = 7,955,058,357.04
  5. Step 5: Solve for x
    x = 7,955,058,357.04/100,056
  6. Step 6: Final answer
    x = 79,506.06

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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.