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Finding the Fourth Proportional to 188,648.21, 282,903.84 and 103,322.45

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Solution

The fourth proportional to 188,648.21, 282,903.84 and 103,322.45 is: 154,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648.21 : 282,903.84 = 103,322.45 : x
  2. Step 2: Convert to fraction form
    188,648.21/282,903.84 = 103,322.45/x
  3. Step 3: Cross multiply
    188,648.21x = 282,903.84 × 103,322.45
  4. Step 4: Simplify right side
    188,648.21x = 29,230,318,570.47
  5. Step 5: Solve for x
    x = 29,230,318,570.47/188,648.21
  6. Step 6: Final answer
    x = 154,946.17

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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.