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Finding the Fourth Proportional to 206,986.10, 310,599.63 and 87,034.37

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Solution

The fourth proportional to 206,986.10, 310,599.63 and 87,034.37 is: 130,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,986.10 : 310,599.63 = 87,034.37 : x
  2. Step 2: Convert to fraction form
    206,986.10/310,599.63 = 87,034.37/x
  3. Step 3: Cross multiply
    206,986.10x = 310,599.63 × 87,034.37
  4. Step 4: Simplify right side
    206,986.10x = 27,032,841,566.29
  5. Step 5: Solve for x
    x = 27,032,841,566.29/206,986.10
  6. Step 6: Final answer
    x = 130,602.21

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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.