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Finding the Fourth Proportional to 99,783, 149,704.20 and 57,652.74

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Solution

The fourth proportional to 99,783, 149,704.20 and 57,652.74 is: 86,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783 : 149,704.20 = 57,652.74 : x
  2. Step 2: Convert to fraction form
    99,783/149,704.20 = 57,652.74/x
  3. Step 3: Cross multiply
    99,783x = 149,704.20 × 57,652.74
  4. Step 4: Simplify right side
    99,783x = 8,630,857,319.51
  5. Step 5: Solve for x
    x = 8,630,857,319.51/99,783
  6. Step 6: Final answer
    x = 86,496.27

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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.