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Finding the Fourth Proportional to 153,390.21, 211,676.79 and 85,405.71

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Solution

The fourth proportional to 153,390.21, 211,676.79 and 85,405.71 is: 117,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,390.21 : 211,676.79 = 85,405.71 : x
  2. Step 2: Convert to fraction form
    153,390.21/211,676.79 = 85,405.71/x
  3. Step 3: Cross multiply
    153,390.21x = 211,676.79 × 85,405.71
  4. Step 4: Simplify right side
    153,390.21x = 18,078,406,540.47
  5. Step 5: Solve for x
    x = 18,078,406,540.47/153,390.21
  6. Step 6: Final answer
    x = 117,858.93

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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.