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Finding the Fourth Proportional to 100,643.42, 138,895.17 and 60,356.45

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Solution

The fourth proportional to 100,643.42, 138,895.17 and 60,356.45 is: 83,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.42 : 138,895.17 = 60,356.45 : x
  2. Step 2: Convert to fraction form
    100,643.42/138,895.17 = 60,356.45/x
  3. Step 3: Cross multiply
    100,643.42x = 138,895.17 × 60,356.45
  4. Step 4: Simplify right side
    100,643.42x = 8,383,219,383.35
  5. Step 5: Solve for x
    x = 8,383,219,383.35/100,643.42
  6. Step 6: Final answer
    x = 83,296.25

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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.