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Finding the Fourth Proportional to 209,223.48, 288,729.06 and 113,730.48

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Solution

The fourth proportional to 209,223.48, 288,729.06 and 113,730.48 is: 156,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.48 : 288,729.06 = 113,730.48 : x
  2. Step 2: Convert to fraction form
    209,223.48/288,729.06 = 113,730.48/x
  3. Step 3: Cross multiply
    209,223.48x = 288,729.06 × 113,730.48
  4. Step 4: Simplify right side
    209,223.48x = 32,837,294,583.75
  5. Step 5: Solve for x
    x = 32,837,294,583.75/209,223.48
  6. Step 6: Final answer
    x = 156,948.42

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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.