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Finding the Fourth Proportional to 100,693.16, 138,954.29 and 54,751.80

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Solution

The fourth proportional to 100,693.16, 138,954.29 and 54,751.80 is: 75,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.16 : 138,954.29 = 54,751.80 : x
  2. Step 2: Convert to fraction form
    100,693.16/138,954.29 = 54,751.80/x
  3. Step 3: Cross multiply
    100,693.16x = 138,954.29 × 54,751.80
  4. Step 4: Simplify right side
    100,693.16x = 7,607,997,495.22
  5. Step 5: Solve for x
    x = 7,607,997,495.22/100,693.16
  6. Step 6: Final answer
    x = 75,556.25

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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.