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Finding the Fourth Proportional to 215,633.16, 323,599.80 and 89,274.06

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Solution

The fourth proportional to 215,633.16, 323,599.80 and 89,274.06 is: 133,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,633.16 : 323,599.80 = 89,274.06 : x
  2. Step 2: Convert to fraction form
    215,633.16/323,599.80 = 89,274.06/x
  3. Step 3: Cross multiply
    215,633.16x = 323,599.80 × 89,274.06
  4. Step 4: Simplify right side
    215,633.16x = 28,889,067,961.19
  5. Step 5: Solve for x
    x = 28,889,067,961.19/215,633.16
  6. Step 6: Final answer
    x = 133,973.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.