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Finding the Fourth Proportional to 243,108.61, 364,720.19 and 83,186.28

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Solution

The fourth proportional to 243,108.61, 364,720.19 and 83,186.28 is: 124,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,108.61 : 364,720.19 = 83,186.28 : x
  2. Step 2: Convert to fraction form
    243,108.61/364,720.19 = 83,186.28/x
  3. Step 3: Cross multiply
    243,108.61x = 364,720.19 × 83,186.28
  4. Step 4: Simplify right side
    243,108.61x = 30,339,715,846.99
  5. Step 5: Solve for x
    x = 30,339,715,846.99/243,108.61
  6. Step 6: Final answer
    x = 124,799.02

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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.