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Finding the Fourth Proportional to 212,741.20, 319,111.80 and 192,005.20

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Solution

The fourth proportional to 212,741.20, 319,111.80 and 192,005.20 is: 288,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,741.20 : 319,111.80 = 192,005.20 : x
  2. Step 2: Convert to fraction form
    212,741.20/319,111.80 = 192,005.20/x
  3. Step 3: Cross multiply
    212,741.20x = 319,111.80 × 192,005.20
  4. Step 4: Simplify right side
    212,741.20x = 61,271,124,981.36
  5. Step 5: Solve for x
    x = 61,271,124,981.36/212,741.20
  6. Step 6: Final answer
    x = 288,007.80

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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.