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Finding the Fourth Proportional to 146,000, 201,480 and 78,932

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Solution

The fourth proportional to 146,000, 201,480 and 78,932 is: 108,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000 : 201,480 = 78,932 : x
  2. Step 2: Convert to fraction form
    146,000/201,480 = 78,932/x
  3. Step 3: Cross multiply
    146,000x = 201,480 × 78,932
  4. Step 4: Simplify right side
    146,000x = 15,903,219,360
  5. Step 5: Solve for x
    x = 15,903,219,360/146,000
  6. Step 6: Final answer
    x = 108,926.16

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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.