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Finding the Fourth Proportional to 123,857.40, 185,786.10 and 86,532.60

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Solution

The fourth proportional to 123,857.40, 185,786.10 and 86,532.60 is: 129,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,857.40 : 185,786.10 = 86,532.60 : x
  2. Step 2: Convert to fraction form
    123,857.40/185,786.10 = 86,532.60/x
  3. Step 3: Cross multiply
    123,857.40x = 185,786.10 × 86,532.60
  4. Step 4: Simplify right side
    123,857.40x = 16,076,554,276.86
  5. Step 5: Solve for x
    x = 16,076,554,276.86/123,857.40
  6. Step 6: Final answer
    x = 129,798.90

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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.