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Finding the Fourth Proportional to 100,656, 138,913.92 and 55,952.64

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Solution

The fourth proportional to 100,656, 138,913.92 and 55,952.64 is: 77,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656 : 138,913.92 = 55,952.64 : x
  2. Step 2: Convert to fraction form
    100,656/138,913.92 = 55,952.64/x
  3. Step 3: Cross multiply
    100,656x = 138,913.92 × 55,952.64
  4. Step 4: Simplify right side
    100,656x = 7,772,600,556.75
  5. Step 5: Solve for x
    x = 7,772,600,556.75/100,656
  6. Step 6: Final answer
    x = 77,219.45

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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.