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Finding the Fourth Proportional to 209,465.35, 289,068.35 and 113,978.23

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Solution

The fourth proportional to 209,465.35, 289,068.35 and 113,978.23 is: 157,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,465.35 : 289,068.35 = 113,978.23 : x
  2. Step 2: Convert to fraction form
    209,465.35/289,068.35 = 113,978.23/x
  3. Step 3: Cross multiply
    209,465.35x = 289,068.35 × 113,978.23
  4. Step 4: Simplify right side
    209,465.35x = 32,947,497,589.46
  5. Step 5: Solve for x
    x = 32,947,497,589.46/209,465.35
  6. Step 6: Final answer
    x = 157,293.31

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1.5x scale

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.