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Finding the Fourth Proportional to 281,127.31, 387,949.03 and 153,803.95

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Solution

The fourth proportional to 281,127.31, 387,949.03 and 153,803.95 is: 212,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,127.31 : 387,949.03 = 153,803.95 : x
  2. Step 2: Convert to fraction form
    281,127.31/387,949.03 = 153,803.95/x
  3. Step 3: Cross multiply
    281,127.31x = 387,949.03 × 153,803.95
  4. Step 4: Simplify right side
    281,127.31x = 59,668,093,212.67
  5. Step 5: Solve for x
    x = 59,668,093,212.67/281,127.31
  6. Step 6: Final answer
    x = 212,245.81

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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.