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Finding the Fourth Proportional to 212,987.82, 293,921.55 and 117,498.54

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Solution

The fourth proportional to 212,987.82, 293,921.55 and 117,498.54 is: 162,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,987.82 : 293,921.55 = 117,498.54 : x
  2. Step 2: Convert to fraction form
    212,987.82/293,921.55 = 117,498.54/x
  3. Step 3: Cross multiply
    212,987.82x = 293,921.55 × 117,498.54
  4. Step 4: Simplify right side
    212,987.82x = 34,535,352,999.54
  5. Step 5: Solve for x
    x = 34,535,352,999.54/212,987.82
  6. Step 6: Final answer
    x = 162,147.08

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1.5x scale

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.