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Finding the Fourth Proportional to 153,006, 211,143.60 and 85,022.64

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Solution

The fourth proportional to 153,006, 211,143.60 and 85,022.64 is: 117,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006 : 211,143.60 = 85,022.64 : x
  2. Step 2: Convert to fraction form
    153,006/211,143.60 = 85,022.64/x
  3. Step 3: Cross multiply
    153,006x = 211,143.60 × 85,022.64
  4. Step 4: Simplify right side
    153,006x = 17,951,986,291.10
  5. Step 5: Solve for x
    x = 17,951,986,291.10/153,006
  6. Step 6: Final answer
    x = 117,328.64

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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.