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Finding the Fourth Proportional to 123,885.89, 185,828.84 and 53,765.20

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Solution

The fourth proportional to 123,885.89, 185,828.84 and 53,765.20 is: 80,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,885.89 : 185,828.84 = 53,765.20 : x
  2. Step 2: Convert to fraction form
    123,885.89/185,828.84 = 53,765.20/x
  3. Step 3: Cross multiply
    123,885.89x = 185,828.84 × 53,765.20
  4. Step 4: Simplify right side
    123,885.89x = 9,991,124,748.37
  5. Step 5: Solve for x
    x = 9,991,124,748.37/123,885.89
  6. Step 6: Final answer
    x = 80,647.80

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1.5x scale

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.