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Finding the Fourth Proportional to 57,747, 86,623.62 and 18,307.20

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Solution

The fourth proportional to 57,747, 86,623.62 and 18,307.20 is: 27,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747 : 86,623.62 = 18,307.20 : x
  2. Step 2: Convert to fraction form
    57,747/86,623.62 = 18,307.20/x
  3. Step 3: Cross multiply
    57,747x = 86,623.62 × 18,307.20
  4. Step 4: Simplify right side
    57,747x = 1,585,835,936.06
  5. Step 5: Solve for x
    x = 1,585,835,936.06/57,747
  6. Step 6: Final answer
    x = 27,461.79

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1.5x scale

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.