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Finding the Fourth Proportional to 100,066.54, 138,078.28 and 57,051.58

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Solution

The fourth proportional to 100,066.54, 138,078.28 and 57,051.58 is: 78,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066.54 : 138,078.28 = 57,051.58 : x
  2. Step 2: Convert to fraction form
    100,066.54/138,078.28 = 57,051.58/x
  3. Step 3: Cross multiply
    100,066.54x = 138,078.28 × 57,051.58
  4. Step 4: Simplify right side
    100,066.54x = 7,877,584,037.68
  5. Step 5: Solve for x
    x = 7,877,584,037.68/100,066.54
  6. Step 6: Final answer
    x = 78,723.46

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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.