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Finding the Fourth Proportional to 145,850, 201,273.08 and 78,782

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Solution

The fourth proportional to 145,850, 201,273.08 and 78,782 is: 108,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,850 : 201,273.08 = 78,782 : x
  2. Step 2: Convert to fraction form
    145,850/201,273.08 = 78,782/x
  3. Step 3: Cross multiply
    145,850x = 201,273.08 × 78,782
  4. Step 4: Simplify right side
    145,850x = 15,856,695,788.56
  5. Step 5: Solve for x
    x = 15,856,695,788.56/145,850
  6. Step 6: Final answer
    x = 108,719.20

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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.