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Finding the Fourth Proportional to 243,091, 364,012.74 and 168,107.68

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Solution

The fourth proportional to 243,091, 364,012.74 and 168,107.68 is: 251,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,091 : 364,012.74 = 168,107.68 : x
  2. Step 2: Convert to fraction form
    243,091/364,012.74 = 168,107.68/x
  3. Step 3: Cross multiply
    243,091x = 364,012.74 × 168,107.68
  4. Step 4: Simplify right side
    243,091x = 61,193,337,211.84
  5. Step 5: Solve for x
    x = 61,193,337,211.84/243,091
  6. Step 6: Final answer
    x = 251,730.16

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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.