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Finding the Fourth Proportional to 153,054.98, 211,205.62 and 85,067.54

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Solution

The fourth proportional to 153,054.98, 211,205.62 and 85,067.54 is: 117,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054.98 : 211,205.62 = 85,067.54 : x
  2. Step 2: Convert to fraction form
    153,054.98/211,205.62 = 85,067.54/x
  3. Step 3: Cross multiply
    153,054.98x = 211,205.62 × 85,067.54
  4. Step 4: Simplify right side
    153,054.98x = 17,966,742,527.57
  5. Step 5: Solve for x
    x = 17,966,742,527.57/153,054.98
  6. Step 6: Final answer
    x = 117,387.51

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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.