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Finding the Fourth Proportional to 45,178, 62,345.64 and 25,306

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Solution

The fourth proportional to 45,178, 62,345.64 and 25,306 is: 34,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,178 : 62,345.64 = 25,306 : x
  2. Step 2: Convert to fraction form
    45,178/62,345.64 = 25,306/x
  3. Step 3: Cross multiply
    45,178x = 62,345.64 × 25,306
  4. Step 4: Simplify right side
    45,178x = 1,577,718,765.84
  5. Step 5: Solve for x
    x = 1,577,718,765.84/45,178
  6. Step 6: Final answer
    x = 34,922.28

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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.