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Finding the Fourth Proportional to 153,908.51, 212,382.81 and 90,234

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Solution

The fourth proportional to 153,908.51, 212,382.81 and 90,234 is: 124,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,908.51 : 212,382.81 = 90,234 : x
  2. Step 2: Convert to fraction form
    153,908.51/212,382.81 = 90,234/x
  3. Step 3: Cross multiply
    153,908.51x = 212,382.81 × 90,234
  4. Step 4: Simplify right side
    153,908.51x = 19,164,150,477.54
  5. Step 5: Solve for x
    x = 19,164,150,477.54/153,908.51
  6. Step 6: Final answer
    x = 124,516.51

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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.