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Finding the Fourth Proportional to 82,533.40, 123,785.70 and 29,915.80

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Solution

The fourth proportional to 82,533.40, 123,785.70 and 29,915.80 is: 44,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.40 : 123,785.70 = 29,915.80 : x
  2. Step 2: Convert to fraction form
    82,533.40/123,785.70 = 29,915.80/x
  3. Step 3: Cross multiply
    82,533.40x = 123,785.70 × 29,915.80
  4. Step 4: Simplify right side
    82,533.40x = 3,703,148,244.06
  5. Step 5: Solve for x
    x = 3,703,148,244.06/82,533.40
  6. Step 6: Final answer
    x = 44,868.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.