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Finding the Fourth Proportional to 207,462, 311,165.06 and 81,013.91

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Solution

The fourth proportional to 207,462, 311,165.06 and 81,013.91 is: 121,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,462 : 311,165.06 = 81,013.91 : x
  2. Step 2: Convert to fraction form
    207,462/311,165.06 = 81,013.91/x
  3. Step 3: Cross multiply
    207,462x = 311,165.06 × 81,013.91
  4. Step 4: Simplify right side
    207,462x = 25,208,698,538.83
  5. Step 5: Solve for x
    x = 25,208,698,538.83/207,462
  6. Step 6: Final answer
    x = 121,509.96

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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.