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Finding the Fourth Proportional to 148,888.63, 205,466.31 and 81,820.63

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Solution

The fourth proportional to 148,888.63, 205,466.31 and 81,820.63 is: 112,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,888.63 : 205,466.31 = 81,820.63 : x
  2. Step 2: Convert to fraction form
    148,888.63/205,466.31 = 81,820.63/x
  3. Step 3: Cross multiply
    148,888.63x = 205,466.31 × 81,820.63
  4. Step 4: Simplify right side
    148,888.63x = 16,811,381,491.54
  5. Step 5: Solve for x
    x = 16,811,381,491.54/148,888.63
  6. Step 6: Final answer
    x = 112,912.46

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1.5x scale

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.