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Finding the Fourth Proportional to 155,783.83, 214,981.42 and 84,163.63

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Solution

The fourth proportional to 155,783.83, 214,981.42 and 84,163.63 is: 116,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,783.83 : 214,981.42 = 84,163.63 : x
  2. Step 2: Convert to fraction form
    155,783.83/214,981.42 = 84,163.63/x
  3. Step 3: Cross multiply
    155,783.83x = 214,981.42 × 84,163.63
  4. Step 4: Simplify right side
    155,783.83x = 18,093,616,689.75
  5. Step 5: Solve for x
    x = 18,093,616,689.75/155,783.83
  6. Step 6: Final answer
    x = 116,145.67

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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.