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Finding the Fourth Proportional to 209,674.54, 314,290.34 and 102,909.96

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Solution

The fourth proportional to 209,674.54, 314,290.34 and 102,909.96 is: 154,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.54 : 314,290.34 = 102,909.96 : x
  2. Step 2: Convert to fraction form
    209,674.54/314,290.34 = 102,909.96/x
  3. Step 3: Cross multiply
    209,674.54x = 314,290.34 × 102,909.96
  4. Step 4: Simplify right side
    209,674.54x = 32,343,605,803.24
  5. Step 5: Solve for x
    x = 32,343,605,803.24/209,674.54
  6. Step 6: Final answer
    x = 154,256.24

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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.