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Finding the Fourth Proportional to 99,833.81, 149,780.78 and 57,704.28

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Solution

The fourth proportional to 99,833.81, 149,780.78 and 57,704.28 is: 86,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.81 : 149,780.78 = 57,704.28 : x
  2. Step 2: Convert to fraction form
    99,833.81/149,780.78 = 57,704.28/x
  3. Step 3: Cross multiply
    99,833.81x = 149,780.78 × 57,704.28
  4. Step 4: Simplify right side
    99,833.81x = 8,642,991,779.22
  5. Step 5: Solve for x
    x = 8,642,991,779.22/99,833.81
  6. Step 6: Final answer
    x = 86,573.80

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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.