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Finding the Fourth Proportional to 82,140.60, 123,038.10 and 68,316.60

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Solution

The fourth proportional to 82,140.60, 123,038.10 and 68,316.60 is: 102,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140.60 : 123,038.10 = 68,316.60 : x
  2. Step 2: Convert to fraction form
    82,140.60/123,038.10 = 68,316.60/x
  3. Step 3: Cross multiply
    82,140.60x = 123,038.10 × 68,316.60
  4. Step 4: Simplify right side
    82,140.60x = 8,405,544,662.46
  5. Step 5: Solve for x
    x = 8,405,544,662.46/82,140.60
  6. Step 6: Final answer
    x = 102,331.18

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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.