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Finding the Fourth Proportional to 70,686, 97,548.96 and 38,857.20

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Solution

The fourth proportional to 70,686, 97,548.96 and 38,857.20 is: 53,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686 : 97,548.96 = 38,857.20 : x
  2. Step 2: Convert to fraction form
    70,686/97,548.96 = 38,857.20/x
  3. Step 3: Cross multiply
    70,686x = 97,548.96 × 38,857.20
  4. Step 4: Simplify right side
    70,686x = 3,790,479,448.51
  5. Step 5: Solve for x
    x = 3,790,479,448.51/70,686
  6. Step 6: Final answer
    x = 53,624.19

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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.