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Finding the Fourth Proportional to 100,736.78, 139,011.29 and 55,407.45

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Solution

The fourth proportional to 100,736.78, 139,011.29 and 55,407.45 is: 76,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,736.78 : 139,011.29 = 55,407.45 : x
  2. Step 2: Convert to fraction form
    100,736.78/139,011.29 = 55,407.45/x
  3. Step 3: Cross multiply
    100,736.78x = 139,011.29 × 55,407.45
  4. Step 4: Simplify right side
    100,736.78x = 7,702,261,100.11
  5. Step 5: Solve for x
    x = 7,702,261,100.11/100,736.78
  6. Step 6: Final answer
    x = 76,459.27

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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.