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Finding the Fourth Proportional to 100,566, 150,633.72 and 53,030.88

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Solution

The fourth proportional to 100,566, 150,633.72 and 53,030.88 is: 79,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566 : 150,633.72 = 53,030.88 : x
  2. Step 2: Convert to fraction form
    100,566/150,633.72 = 53,030.88/x
  3. Step 3: Cross multiply
    100,566x = 150,633.72 × 53,030.88
  4. Step 4: Simplify right side
    100,566x = 7,988,238,729.27
  5. Step 5: Solve for x
    x = 7,988,238,729.27/100,566
  6. Step 6: Final answer
    x = 79,432.80

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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.