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Finding the Fourth Proportional to 48,971.70, 73,465.65 and 20,905.20

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Solution

The fourth proportional to 48,971.70, 73,465.65 and 20,905.20 is: 31,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.70 : 73,465.65 = 20,905.20 : x
  2. Step 2: Convert to fraction form
    48,971.70/73,465.65 = 20,905.20/x
  3. Step 3: Cross multiply
    48,971.70x = 73,465.65 × 20,905.20
  4. Step 4: Simplify right side
    48,971.70x = 1,535,814,106.38
  5. Step 5: Solve for x
    x = 1,535,814,106.38/48,971.70
  6. Step 6: Final answer
    x = 31,361.26

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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.