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Finding the Fourth Proportional to 48,406.91, 72,599.45 and 20,358.63

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Solution

The fourth proportional to 48,406.91, 72,599.45 and 20,358.63 is: 30,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406.91 : 72,599.45 = 20,358.63 : x
  2. Step 2: Convert to fraction form
    48,406.91/72,599.45 = 20,358.63/x
  3. Step 3: Cross multiply
    48,406.91x = 72,599.45 × 20,358.63
  4. Step 4: Simplify right side
    48,406.91x = 1,478,025,238.96
  5. Step 5: Solve for x
    x = 1,478,025,238.96/48,406.91
  6. Step 6: Final answer
    x = 30,533.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.