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Finding the Fourth Proportional to 153,266.56, 211,500.24 and 85,287.52

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Solution

The fourth proportional to 153,266.56, 211,500.24 and 85,287.52 is: 117,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,266.56 : 211,500.24 = 85,287.52 : x
  2. Step 2: Convert to fraction form
    153,266.56/211,500.24 = 85,287.52/x
  3. Step 3: Cross multiply
    153,266.56x = 211,500.24 × 85,287.52
  4. Step 4: Simplify right side
    153,266.56x = 18,038,330,949.00
  5. Step 5: Solve for x
    x = 18,038,330,949.00/153,266.56
  6. Step 6: Final answer
    x = 117,692.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.