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Finding the Fourth Proportional to 82,130.64, 123,215.21 and 34,749.99

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Solution

The fourth proportional to 82,130.64, 123,215.21 and 34,749.99 is: 52,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.64 : 123,215.21 = 34,749.99 : x
  2. Step 2: Convert to fraction form
    82,130.64/123,215.21 = 34,749.99/x
  3. Step 3: Cross multiply
    82,130.64x = 123,215.21 × 34,749.99
  4. Step 4: Simplify right side
    82,130.64x = 4,281,727,141.60
  5. Step 5: Solve for x
    x = 4,281,727,141.60/82,130.64
  6. Step 6: Final answer
    x = 52,133.13

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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.