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Finding the Fourth Proportional to 70,922, 97,871.94 and 38,656.58

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Solution

The fourth proportional to 70,922, 97,871.94 and 38,656.58 is: 53,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922 : 97,871.94 = 38,656.58 : x
  2. Step 2: Convert to fraction form
    70,922/97,871.94 = 38,656.58/x
  3. Step 3: Cross multiply
    70,922x = 97,871.94 × 38,656.58
  4. Step 4: Simplify right side
    70,922x = 3,783,394,478.37
  5. Step 5: Solve for x
    x = 3,783,394,478.37/70,922
  6. Step 6: Final answer
    x = 53,345.85

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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.