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Finding the Fourth Proportional to 209,110.95, 288,596.16 and 117,238.95

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Solution

The fourth proportional to 209,110.95, 288,596.16 and 117,238.95 is: 161,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,110.95 : 288,596.16 = 117,238.95 : x
  2. Step 2: Convert to fraction form
    209,110.95/288,596.16 = 117,238.95/x
  3. Step 3: Cross multiply
    209,110.95x = 288,596.16 × 117,238.95
  4. Step 4: Simplify right side
    209,110.95x = 33,834,710,772.43
  5. Step 5: Solve for x
    x = 33,834,710,772.43/209,110.95
  6. Step 6: Final answer
    x = 161,802.67

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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.