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Finding the Fourth Proportional to 86,945.49, 119,986.02 and 50,646

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Solution

The fourth proportional to 86,945.49, 119,986.02 and 50,646 is: 69,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,945.49 : 119,986.02 = 50,646 : x
  2. Step 2: Convert to fraction form
    86,945.49/119,986.02 = 50,646/x
  3. Step 3: Cross multiply
    86,945.49x = 119,986.02 × 50,646
  4. Step 4: Simplify right side
    86,945.49x = 6,076,811,779.00
  5. Step 5: Solve for x
    x = 6,076,811,779.00/86,945.49
  6. Step 6: Final answer
    x = 69,892.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.