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Finding the Fourth Proportional to 209,073.88, 312,030.84 and 188,895.78

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Solution

The fourth proportional to 209,073.88, 312,030.84 and 188,895.78 is: 281,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,073.88 : 312,030.84 = 188,895.78 : x
  2. Step 2: Convert to fraction form
    209,073.88/312,030.84 = 188,895.78/x
  3. Step 3: Cross multiply
    209,073.88x = 312,030.84 × 188,895.78
  4. Step 4: Simplify right side
    209,073.88x = 58,941,308,905.86
  5. Step 5: Solve for x
    x = 58,941,308,905.86/209,073.88
  6. Step 6: Final answer
    x = 281,916.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.