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Finding the Fourth Proportional to 211,064.61, 291,211.41 and 135,656.85

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Solution

The fourth proportional to 211,064.61, 291,211.41 and 135,656.85 is: 187,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,064.61 : 291,211.41 = 135,656.85 : x
  2. Step 2: Convert to fraction form
    211,064.61/291,211.41 = 135,656.85/x
  3. Step 3: Cross multiply
    211,064.61x = 291,211.41 × 135,656.85
  4. Step 4: Simplify right side
    211,064.61x = 39,504,822,564.66
  5. Step 5: Solve for x
    x = 39,504,822,564.66/211,064.61
  6. Step 6: Final answer
    x = 187,169.33

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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.