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Finding the Fourth Proportional to 243,878.98, 365,935.08 and 86,181.70

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Solution

The fourth proportional to 243,878.98, 365,935.08 and 86,181.70 is: 129,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,878.98 : 365,935.08 = 86,181.70 : x
  2. Step 2: Convert to fraction form
    243,878.98/365,935.08 = 86,181.70/x
  3. Step 3: Cross multiply
    243,878.98x = 365,935.08 × 86,181.70
  4. Step 4: Simplify right side
    243,878.98x = 31,536,907,284.04
  5. Step 5: Solve for x
    x = 31,536,907,284.04/243,878.98
  6. Step 6: Final answer
    x = 129,313.76

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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.