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Finding the Fourth Proportional to 54,838.64, 75,676.74 and 30,963.90

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Solution

The fourth proportional to 54,838.64, 75,676.74 and 30,963.90 is: 42,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.64 : 75,676.74 = 30,963.90 : x
  2. Step 2: Convert to fraction form
    54,838.64/75,676.74 = 30,963.90/x
  3. Step 3: Cross multiply
    54,838.64x = 75,676.74 × 30,963.90
  4. Step 4: Simplify right side
    54,838.64x = 2,343,247,009.69
  5. Step 5: Solve for x
    x = 2,343,247,009.69/54,838.64
  6. Step 6: Final answer
    x = 42,729.85

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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.