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Finding the Fourth Proportional to 47,585.66, 65,638.47 and 30,612

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Solution

The fourth proportional to 47,585.66, 65,638.47 and 30,612 is: 42,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,585.66 : 65,638.47 = 30,612 : x
  2. Step 2: Convert to fraction form
    47,585.66/65,638.47 = 30,612/x
  3. Step 3: Cross multiply
    47,585.66x = 65,638.47 × 30,612
  4. Step 4: Simplify right side
    47,585.66x = 2,009,324,843.64
  5. Step 5: Solve for x
    x = 2,009,324,843.64/47,585.66
  6. Step 6: Final answer
    x = 42,225.43

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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.