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Finding the Fourth Proportional to 101,986.90, 152,850.85 and 57,638.59

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Solution

The fourth proportional to 101,986.90, 152,850.85 and 57,638.59 is: 86,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.90 : 152,850.85 = 57,638.59 : x
  2. Step 2: Convert to fraction form
    101,986.90/152,850.85 = 57,638.59/x
  3. Step 3: Cross multiply
    101,986.90x = 152,850.85 × 57,638.59
  4. Step 4: Simplify right side
    101,986.90x = 8,810,106,948.08
  5. Step 5: Solve for x
    x = 8,810,106,948.08/101,986.90
  6. Step 6: Final answer
    x = 86,384.69

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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.