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Finding the Fourth Proportional to 131,821, 181,913.62 and 72,205

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Solution

The fourth proportional to 131,821, 181,913.62 and 72,205 is: 99,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,821 : 181,913.62 = 72,205 : x
  2. Step 2: Convert to fraction form
    131,821/181,913.62 = 72,205/x
  3. Step 3: Cross multiply
    131,821x = 181,913.62 × 72,205
  4. Step 4: Simplify right side
    131,821x = 13,135,072,932.10
  5. Step 5: Solve for x
    x = 13,135,072,932.10/131,821
  6. Step 6: Final answer
    x = 99,643.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.