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Finding the Fourth Proportional to 54,615.84, 75,370.02 and 30,742.88

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Solution

The fourth proportional to 54,615.84, 75,370.02 and 30,742.88 is: 42,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615.84 : 75,370.02 = 30,742.88 : x
  2. Step 2: Convert to fraction form
    54,615.84/75,370.02 = 30,742.88/x
  3. Step 3: Cross multiply
    54,615.84x = 75,370.02 × 30,742.88
  4. Step 4: Simplify right side
    54,615.84x = 2,317,091,480.46
  5. Step 5: Solve for x
    x = 2,317,091,480.46/54,615.84
  6. Step 6: Final answer
    x = 42,425.26

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1.5x scale

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.