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Finding the Fourth Proportional to 209,594.96, 314,285.64 and 102,986

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Solution

The fourth proportional to 209,594.96, 314,285.64 and 102,986 is: 154,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.96 : 314,285.64 = 102,986 : x
  2. Step 2: Convert to fraction form
    209,594.96/314,285.64 = 102,986/x
  3. Step 3: Cross multiply
    209,594.96x = 314,285.64 × 102,986
  4. Step 4: Simplify right side
    209,594.96x = 32,367,020,921.04
  5. Step 5: Solve for x
    x = 32,367,020,921.04/209,594.96
  6. Step 6: Final answer
    x = 154,426.52

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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.