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Finding the Fourth Proportional to 54,706, 75,498.60 and 30,510.40

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Solution

The fourth proportional to 54,706, 75,498.60 and 30,510.40 is: 42,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706 : 75,498.60 = 30,510.40 : x
  2. Step 2: Convert to fraction form
    54,706/75,498.60 = 30,510.40/x
  3. Step 3: Cross multiply
    54,706x = 75,498.60 × 30,510.40
  4. Step 4: Simplify right side
    54,706x = 2,303,492,485.44
  5. Step 5: Solve for x
    x = 2,303,492,485.44/54,706
  6. Step 6: Final answer
    x = 42,106.76

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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.