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Finding the Fourth Proportional to 85,617, 128,425.91 and 30,213

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Solution

The fourth proportional to 85,617, 128,425.91 and 30,213 is: 45,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,617 : 128,425.91 = 30,213 : x
  2. Step 2: Convert to fraction form
    85,617/128,425.91 = 30,213/x
  3. Step 3: Cross multiply
    85,617x = 128,425.91 × 30,213
  4. Step 4: Simplify right side
    85,617x = 3,880,131,867.77
  5. Step 5: Solve for x
    x = 3,880,131,867.77/85,617
  6. Step 6: Final answer
    x = 45,319.64

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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.