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Finding the Fourth Proportional to 100,390.77, 138,533.45 and 55,059.75

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Solution

The fourth proportional to 100,390.77, 138,533.45 and 55,059.75 is: 75,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.77 : 138,533.45 = 55,059.75 : x
  2. Step 2: Convert to fraction form
    100,390.77/138,533.45 = 55,059.75/x
  3. Step 3: Cross multiply
    100,390.77x = 138,533.45 × 55,059.75
  4. Step 4: Simplify right side
    100,390.77x = 7,627,616,848.34
  5. Step 5: Solve for x
    x = 7,627,616,848.34/100,390.77
  6. Step 6: Final answer
    x = 75,979.26

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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.