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Finding the Fourth Proportional to 123,905.40, 185,858.10 and 86,580.60

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Solution

The fourth proportional to 123,905.40, 185,858.10 and 86,580.60 is: 129,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905.40 : 185,858.10 = 86,580.60 : x
  2. Step 2: Convert to fraction form
    123,905.40/185,858.10 = 86,580.60/x
  3. Step 3: Cross multiply
    123,905.40x = 185,858.10 × 86,580.60
  4. Step 4: Simplify right side
    123,905.40x = 16,091,705,812.86
  5. Step 5: Solve for x
    x = 16,091,705,812.86/123,905.40
  6. Step 6: Final answer
    x = 129,870.90

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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.