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Finding the Fourth Proportional to 100,279.94, 138,356.64 and 57,258

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Solution

The fourth proportional to 100,279.94, 138,356.64 and 57,258 is: 78,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,279.94 : 138,356.64 = 57,258 : x
  2. Step 2: Convert to fraction form
    100,279.94/138,356.64 = 57,258/x
  3. Step 3: Cross multiply
    100,279.94x = 138,356.64 × 57,258
  4. Step 4: Simplify right side
    100,279.94x = 7,922,024,493.12
  5. Step 5: Solve for x
    x = 7,922,024,493.12/100,279.94
  6. Step 6: Final answer
    x = 78,999.10

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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.