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Finding the Fourth Proportional to 82,011.62, 113,173.13 and 49,749.93

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Solution

The fourth proportional to 82,011.62, 113,173.13 and 49,749.93 is: 68,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.62 : 113,173.13 = 49,749.93 : x
  2. Step 2: Convert to fraction form
    82,011.62/113,173.13 = 49,749.93/x
  3. Step 3: Cross multiply
    82,011.62x = 113,173.13 × 49,749.93
  4. Step 4: Simplify right side
    82,011.62x = 5,630,355,419.76
  5. Step 5: Solve for x
    x = 5,630,355,419.76/82,011.62
  6. Step 6: Final answer
    x = 68,653.14

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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.