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Finding the Fourth Proportional to 153,181.61, 211,390.79 and 85,196.96

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Solution

The fourth proportional to 153,181.61, 211,390.79 and 85,196.96 is: 117,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,181.61 : 211,390.79 = 85,196.96 : x
  2. Step 2: Convert to fraction form
    153,181.61/211,390.79 = 85,196.96/x
  3. Step 3: Cross multiply
    153,181.61x = 211,390.79 × 85,196.96
  4. Step 4: Simplify right side
    153,181.61x = 18,009,851,197.06
  5. Step 5: Solve for x
    x = 18,009,851,197.06/153,181.61
  6. Step 6: Final answer
    x = 117,571.89

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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.