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Finding the Fourth Proportional to 131,416, 181,354.08 and 71,800

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Solution

The fourth proportional to 131,416, 181,354.08 and 71,800 is: 99,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,416 : 181,354.08 = 71,800 : x
  2. Step 2: Convert to fraction form
    131,416/181,354.08 = 71,800/x
  3. Step 3: Cross multiply
    131,416x = 181,354.08 × 71,800
  4. Step 4: Simplify right side
    131,416x = 13,021,222,944
  5. Step 5: Solve for x
    x = 13,021,222,944/131,416
  6. Step 6: Final answer
    x = 99,084

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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.