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Finding the Fourth Proportional to 243,083.70, 364,625.55 and 85,328.10

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Solution

The fourth proportional to 243,083.70, 364,625.55 and 85,328.10 is: 127,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,083.70 : 364,625.55 = 85,328.10 : x
  2. Step 2: Convert to fraction form
    243,083.70/364,625.55 = 85,328.10/x
  3. Step 3: Cross multiply
    243,083.70x = 364,625.55 × 85,328.10
  4. Step 4: Simplify right side
    243,083.70x = 31,112,805,392.96
  5. Step 5: Solve for x
    x = 31,112,805,392.96/243,083.70
  6. Step 6: Final answer
    x = 127,992.15

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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.