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Finding the Fourth Proportional to 100,440.34, 138,573.34 and 57,388.95

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Solution

The fourth proportional to 100,440.34, 138,573.34 and 57,388.95 is: 79,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440.34 : 138,573.34 = 57,388.95 : x
  2. Step 2: Convert to fraction form
    100,440.34/138,573.34 = 57,388.95/x
  3. Step 3: Cross multiply
    100,440.34x = 138,573.34 × 57,388.95
  4. Step 4: Simplify right side
    100,440.34x = 7,952,578,480.59
  5. Step 5: Solve for x
    x = 7,952,578,480.59/100,440.34
  6. Step 6: Final answer
    x = 79,177.14

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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.