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Finding the Fourth Proportional to 243,025.96, 364,538.94 and 76,801

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Solution

The fourth proportional to 243,025.96, 364,538.94 and 76,801 is: 115,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,025.96 : 364,538.94 = 76,801 : x
  2. Step 2: Convert to fraction form
    243,025.96/364,538.94 = 76,801/x
  3. Step 3: Cross multiply
    243,025.96x = 364,538.94 × 76,801
  4. Step 4: Simplify right side
    243,025.96x = 27,996,955,130.94
  5. Step 5: Solve for x
    x = 27,996,955,130.94/243,025.96
  6. Step 6: Final answer
    x = 115,201.50

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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.