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Finding the Fourth Proportional to 254,737.80, 382,106.70 and 67,749.30

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Solution

The fourth proportional to 254,737.80, 382,106.70 and 67,749.30 is: 101,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,737.80 : 382,106.70 = 67,749.30 : x
  2. Step 2: Convert to fraction form
    254,737.80/382,106.70 = 67,749.30/x
  3. Step 3: Cross multiply
    254,737.80x = 382,106.70 × 67,749.30
  4. Step 4: Simplify right side
    254,737.80x = 25,887,461,450.31
  5. Step 5: Solve for x
    x = 25,887,461,450.31/254,737.80
  6. Step 6: Final answer
    x = 101,623.95

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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.