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Finding the Fourth Proportional to 169,685.94, 254,234.90 and 102,986.31

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Solution

The fourth proportional to 169,685.94, 254,234.90 and 102,986.31 is: 154,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,685.94 : 254,234.90 = 102,986.31 : x
  2. Step 2: Convert to fraction form
    169,685.94/254,234.90 = 102,986.31/x
  3. Step 3: Cross multiply
    169,685.94x = 254,234.90 × 102,986.31
  4. Step 4: Simplify right side
    169,685.94x = 26,182,712,953.04
  5. Step 5: Solve for x
    x = 26,182,712,953.04/169,685.94
  6. Step 6: Final answer
    x = 154,301.02

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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.