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Finding the Fourth Proportional to 153,586.13, 211,942.04 and 85,610.52

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Solution

The fourth proportional to 153,586.13, 211,942.04 and 85,610.52 is: 118,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,586.13 : 211,942.04 = 85,610.52 : x
  2. Step 2: Convert to fraction form
    153,586.13/211,942.04 = 85,610.52/x
  3. Step 3: Cross multiply
    153,586.13x = 211,942.04 × 85,610.52
  4. Step 4: Simplify right side
    153,586.13x = 18,144,467,826.21
  5. Step 5: Solve for x
    x = 18,144,467,826.21/153,586.13
  6. Step 6: Final answer
    x = 118,138.72

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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.