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Finding the Fourth Proportional to 71,699, 107,548.50 and 30,146

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Solution

The fourth proportional to 71,699, 107,548.50 and 30,146 is: 45,219

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,699 : 107,548.50 = 30,146 : x
  2. Step 2: Convert to fraction form
    71,699/107,548.50 = 30,146/x
  3. Step 3: Cross multiply
    71,699x = 107,548.50 × 30,146
  4. Step 4: Simplify right side
    71,699x = 3,242,157,081
  5. Step 5: Solve for x
    x = 3,242,157,081/71,699
  6. Step 6: Final answer
    x = 45,219

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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.