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Finding the Fourth Proportional to 54,443.40, 75,132 and 30,570

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Solution

The fourth proportional to 54,443.40, 75,132 and 30,570 is: 42,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,443.40 : 75,132 = 30,570 : x
  2. Step 2: Convert to fraction form
    54,443.40/75,132 = 30,570/x
  3. Step 3: Cross multiply
    54,443.40x = 75,132 × 30,570
  4. Step 4: Simplify right side
    54,443.40x = 2,296,785,240
  5. Step 5: Solve for x
    x = 2,296,785,240/54,443.40
  6. Step 6: Final answer
    x = 42,186.66

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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.