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Finding the Fourth Proportional to 52,783.20, 79,174.80 and 21,640.80

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Solution

The fourth proportional to 52,783.20, 79,174.80 and 21,640.80 is: 32,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.20 : 79,174.80 = 21,640.80 : x
  2. Step 2: Convert to fraction form
    52,783.20/79,174.80 = 21,640.80/x
  3. Step 3: Cross multiply
    52,783.20x = 79,174.80 × 21,640.80
  4. Step 4: Simplify right side
    52,783.20x = 1,713,406,011.84
  5. Step 5: Solve for x
    x = 1,713,406,011.84/52,783.20
  6. Step 6: Final answer
    x = 32,461.20

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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.