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Finding the Fourth Proportional to 148,889.81, 205,467.98 and 81,821.81

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Solution

The fourth proportional to 148,889.81, 205,467.98 and 81,821.81 is: 112,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,889.81 : 205,467.98 = 81,821.81 : x
  2. Step 2: Convert to fraction form
    148,889.81/205,467.98 = 81,821.81/x
  3. Step 3: Cross multiply
    148,889.81x = 205,467.98 × 81,821.81
  4. Step 4: Simplify right side
    148,889.81x = 16,811,762,125.20
  5. Step 5: Solve for x
    x = 16,811,762,125.20/148,889.81
  6. Step 6: Final answer
    x = 112,914.12

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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.