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Finding the Fourth Proportional to 281,315.76, 421,960.68 and 103,811.28

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Solution

The fourth proportional to 281,315.76, 421,960.68 and 103,811.28 is: 155,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,315.76 : 421,960.68 = 103,811.28 : x
  2. Step 2: Convert to fraction form
    281,315.76/421,960.68 = 103,811.28/x
  3. Step 3: Cross multiply
    281,315.76x = 421,960.68 × 103,811.28
  4. Step 4: Simplify right side
    281,315.76x = 43,804,278,300.47
  5. Step 5: Solve for x
    x = 43,804,278,300.47/281,315.76
  6. Step 6: Final answer
    x = 155,712.14

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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.