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Finding the Fourth Proportional to 212,987.32, 293,920.86 and 117,498.04

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Solution

The fourth proportional to 212,987.32, 293,920.86 and 117,498.04 is: 162,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,987.32 : 293,920.86 = 117,498.04 : x
  2. Step 2: Convert to fraction form
    212,987.32/293,920.86 = 117,498.04/x
  3. Step 3: Cross multiply
    212,987.32x = 293,920.86 × 117,498.04
  4. Step 4: Simplify right side
    212,987.32x = 34,535,124,965.11
  5. Step 5: Solve for x
    x = 34,535,124,965.11/212,987.32
  6. Step 6: Final answer
    x = 162,146.39

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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.