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Finding the Fourth Proportional to 100,409.67, 138,564.18 and 57,967.29

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Solution

The fourth proportional to 100,409.67, 138,564.18 and 57,967.29 is: 79,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.67 : 138,564.18 = 57,967.29 : x
  2. Step 2: Convert to fraction form
    100,409.67/138,564.18 = 57,967.29/x
  3. Step 3: Cross multiply
    100,409.67x = 138,564.18 × 57,967.29
  4. Step 4: Simplify right side
    100,409.67x = 8,032,190,005.67
  5. Step 5: Solve for x
    x = 8,032,190,005.67/100,409.67
  6. Step 6: Final answer
    x = 79,994.19

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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.