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Finding the Fourth Proportional to 209,352.21, 288,897.75 and 113,858.88

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Solution

The fourth proportional to 209,352.21, 288,897.75 and 113,858.88 is: 157,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.21 : 288,897.75 = 113,858.88 : x
  2. Step 2: Convert to fraction form
    209,352.21/288,897.75 = 113,858.88/x
  3. Step 3: Cross multiply
    209,352.21x = 288,897.75 × 113,858.88
  4. Step 4: Simplify right side
    209,352.21x = 32,893,574,249.52
  5. Step 5: Solve for x
    x = 32,893,574,249.52/209,352.21
  6. Step 6: Final answer
    x = 157,120.74

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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.