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Finding the Fourth Proportional to 268,357.02, 402,473.26 and 78,766.48

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Solution

The fourth proportional to 268,357.02, 402,473.26 and 78,766.48 is: 118,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,357.02 : 402,473.26 = 78,766.48 : x
  2. Step 2: Convert to fraction form
    268,357.02/402,473.26 = 78,766.48/x
  3. Step 3: Cross multiply
    268,357.02x = 402,473.26 × 78,766.48
  4. Step 4: Simplify right side
    268,357.02x = 31,701,401,984.32
  5. Step 5: Solve for x
    x = 31,701,401,984.32/268,357.02
  6. Step 6: Final answer
    x = 118,131.44

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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.