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Finding the Fourth Proportional to 70,337, 97,065.12 and 38,507.84

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Solution

The fourth proportional to 70,337, 97,065.12 and 38,507.84 is: 53,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337 : 97,065.12 = 38,507.84 : x
  2. Step 2: Convert to fraction form
    70,337/97,065.12 = 38,507.84/x
  3. Step 3: Cross multiply
    70,337x = 97,065.12 × 38,507.84
  4. Step 4: Simplify right side
    70,337x = 3,737,768,110.54
  5. Step 5: Solve for x
    x = 3,737,768,110.54/70,337
  6. Step 6: Final answer
    x = 53,140.85

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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.