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Finding the Fourth Proportional to 82,912.65, 124,368.98 and 68,150.40

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Solution

The fourth proportional to 82,912.65, 124,368.98 and 68,150.40 is: 102,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.65 : 124,368.98 = 68,150.40 : x
  2. Step 2: Convert to fraction form
    82,912.65/124,368.98 = 68,150.40/x
  3. Step 3: Cross multiply
    82,912.65x = 124,368.98 × 68,150.40
  4. Step 4: Simplify right side
    82,912.65x = 8,475,795,393.84
  5. Step 5: Solve for x
    x = 8,475,795,393.84/82,912.65
  6. Step 6: Final answer
    x = 102,225.60

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Why These Related Problems?

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