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Finding the Fourth Proportional to 100,413, 138,569.94 and 55,709.64

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Solution

The fourth proportional to 100,413, 138,569.94 and 55,709.64 is: 76,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413 : 138,569.94 = 55,709.64 : x
  2. Step 2: Convert to fraction form
    100,413/138,569.94 = 55,709.64/x
  3. Step 3: Cross multiply
    100,413x = 138,569.94 × 55,709.64
  4. Step 4: Simplify right side
    100,413x = 7,719,681,472.22
  5. Step 5: Solve for x
    x = 7,719,681,472.22/100,413
  6. Step 6: Final answer
    x = 76,879.30

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1.5x scale

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.