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Finding the Fourth Proportional to 55,702.20, 83,558.16 and 20,642.16

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Solution

The fourth proportional to 55,702.20, 83,558.16 and 20,642.16 is: 30,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.20 : 83,558.16 = 20,642.16 : x
  2. Step 2: Convert to fraction form
    55,702.20/83,558.16 = 20,642.16/x
  3. Step 3: Cross multiply
    55,702.20x = 83,558.16 × 20,642.16
  4. Step 4: Simplify right side
    55,702.20x = 1,724,820,908.03
  5. Step 5: Solve for x
    x = 1,724,820,908.03/55,702.20
  6. Step 6: Final answer
    x = 30,965.04

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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.