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Finding the Fourth Proportional to 209,596.96, 314,288.64 and 102,988

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Solution

The fourth proportional to 209,596.96, 314,288.64 and 102,988 is: 154,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596.96 : 314,288.64 = 102,988 : x
  2. Step 2: Convert to fraction form
    209,596.96/314,288.64 = 102,988/x
  3. Step 3: Cross multiply
    209,596.96x = 314,288.64 × 102,988
  4. Step 4: Simplify right side
    209,596.96x = 32,367,958,456.32
  5. Step 5: Solve for x
    x = 32,367,958,456.32/209,596.96
  6. Step 6: Final answer
    x = 154,429.52

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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.