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Finding the Fourth Proportional to 57,699, 79,624.70 and 31,203

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Solution

The fourth proportional to 57,699, 79,624.70 and 31,203 is: 43,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,699 : 79,624.70 = 31,203 : x
  2. Step 2: Convert to fraction form
    57,699/79,624.70 = 31,203/x
  3. Step 3: Cross multiply
    57,699x = 79,624.70 × 31,203
  4. Step 4: Simplify right side
    57,699x = 2,484,529,514.10
  5. Step 5: Solve for x
    x = 2,484,529,514.10/57,699
  6. Step 6: Final answer
    x = 43,060.18

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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.