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Finding the Fourth Proportional to 153,021.02, 211,175.34 and 85,037.72

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Solution

The fourth proportional to 153,021.02, 211,175.34 and 85,037.72 is: 117,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,021.02 : 211,175.34 = 85,037.72 : x
  2. Step 2: Convert to fraction form
    153,021.02/211,175.34 = 85,037.72/x
  3. Step 3: Cross multiply
    153,021.02x = 211,175.34 × 85,037.72
  4. Step 4: Simplify right side
    153,021.02x = 17,957,869,433.82
  5. Step 5: Solve for x
    x = 17,957,869,433.82/153,021.02
  6. Step 6: Final answer
    x = 117,355.57

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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.