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Finding the Fourth Proportional to 82,357.84, 122,934.02 and 70,745.68

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Solution

The fourth proportional to 82,357.84, 122,934.02 and 70,745.68 is: 105,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.84 : 122,934.02 = 70,745.68 : x
  2. Step 2: Convert to fraction form
    82,357.84/122,934.02 = 70,745.68/x
  3. Step 3: Cross multiply
    82,357.84x = 122,934.02 × 70,745.68
  4. Step 4: Simplify right side
    82,357.84x = 8,697,050,840.03
  5. Step 5: Solve for x
    x = 8,697,050,840.03/82,357.84
  6. Step 6: Final answer
    x = 105,600.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.