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Finding the Fourth Proportional to 208,859.40, 288,225 and 113,365.26

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Solution

The fourth proportional to 208,859.40, 288,225 and 113,365.26 is: 156,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.40 : 288,225 = 113,365.26 : x
  2. Step 2: Convert to fraction form
    208,859.40/288,225 = 113,365.26/x
  3. Step 3: Cross multiply
    208,859.40x = 288,225 × 113,365.26
  4. Step 4: Simplify right side
    208,859.40x = 32,674,702,063.50
  5. Step 5: Solve for x
    x = 32,674,702,063.50/208,859.40
  6. Step 6: Final answer
    x = 156,443.53

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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.