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Finding the Fourth Proportional to 77,243.96, 115,852.98 and 21,827

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Solution

The fourth proportional to 77,243.96, 115,852.98 and 21,827 is: 32,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243.96 : 115,852.98 = 21,827 : x
  2. Step 2: Convert to fraction form
    77,243.96/115,852.98 = 21,827/x
  3. Step 3: Cross multiply
    77,243.96x = 115,852.98 × 21,827
  4. Step 4: Simplify right side
    77,243.96x = 2,528,722,994.46
  5. Step 5: Solve for x
    x = 2,528,722,994.46/77,243.96
  6. Step 6: Final answer
    x = 32,736.84

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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.