Home / 81,709.83-122,533.16-31,783.19

Finding the Fourth Proportional to 81,709.83, 122,533.16 and 31,783.19

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Solution

The fourth proportional to 81,709.83, 122,533.16 and 31,783.19 is: 47,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709.83 : 122,533.16 = 31,783.19 : x
  2. Step 2: Convert to fraction form
    81,709.83/122,533.16 = 31,783.19/x
  3. Step 3: Cross multiply
    81,709.83x = 122,533.16 × 31,783.19
  4. Step 4: Simplify right side
    81,709.83x = 3,894,493,934.00
  5. Step 5: Solve for x
    x = 3,894,493,934.00/81,709.83
  6. Step 6: Final answer
    x = 47,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.