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Finding the Fourth Proportional to 55,928.61, 83,914.79 and 20,871

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Solution

The fourth proportional to 55,928.61, 83,914.79 and 20,871 is: 31,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928.61 : 83,914.79 = 20,871 : x
  2. Step 2: Convert to fraction form
    55,928.61/83,914.79 = 20,871/x
  3. Step 3: Cross multiply
    55,928.61x = 83,914.79 × 20,871
  4. Step 4: Simplify right side
    55,928.61x = 1,751,385,477.74
  5. Step 5: Solve for x
    x = 1,751,385,477.74/55,928.61
  6. Step 6: Final answer
    x = 31,314.66

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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.