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Finding the Fourth Proportional to 100,172, 138,238.32 and 55,460.96

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Solution

The fourth proportional to 100,172, 138,238.32 and 55,460.96 is: 76,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172 : 138,238.32 = 55,460.96 : x
  2. Step 2: Convert to fraction form
    100,172/138,238.32 = 55,460.96/x
  3. Step 3: Cross multiply
    100,172x = 138,238.32 × 55,460.96
  4. Step 4: Simplify right side
    100,172x = 7,666,829,935.99
  5. Step 5: Solve for x
    x = 7,666,829,935.99/100,172
  6. Step 6: Final answer
    x = 76,536.66

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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.