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Finding the Fourth Proportional to 209,867.70, 289,617.64 and 114,374.48

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Solution

The fourth proportional to 209,867.70, 289,617.64 and 114,374.48 is: 157,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,867.70 : 289,617.64 = 114,374.48 : x
  2. Step 2: Convert to fraction form
    209,867.70/289,617.64 = 114,374.48/x
  3. Step 3: Cross multiply
    209,867.70x = 289,617.64 × 114,374.48
  4. Step 4: Simplify right side
    209,867.70x = 33,124,866,973.83
  5. Step 5: Solve for x
    x = 33,124,866,973.83/209,867.70
  6. Step 6: Final answer
    x = 157,836.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.