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Finding the Fourth Proportional to 210,078.48, 289,908.24 and 114,585.12

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Solution

The fourth proportional to 210,078.48, 289,908.24 and 114,585.12 is: 158,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,078.48 : 289,908.24 = 114,585.12 : x
  2. Step 2: Convert to fraction form
    210,078.48/289,908.24 = 114,585.12/x
  3. Step 3: Cross multiply
    210,078.48x = 289,908.24 × 114,585.12
  4. Step 4: Simplify right side
    210,078.48x = 33,219,170,469.39
  5. Step 5: Solve for x
    x = 33,219,170,469.39/210,078.48
  6. Step 6: Final answer
    x = 158,127.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.