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Finding the Fourth Proportional to 145,800, 201,204 and 78,732

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Solution

The fourth proportional to 145,800, 201,204 and 78,732 is: 108,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,800 : 201,204 = 78,732 : x
  2. Step 2: Convert to fraction form
    145,800/201,204 = 78,732/x
  3. Step 3: Cross multiply
    145,800x = 201,204 × 78,732
  4. Step 4: Simplify right side
    145,800x = 15,841,193,328
  5. Step 5: Solve for x
    x = 15,841,193,328/145,800
  6. Step 6: Final answer
    x = 108,650.16

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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.