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Finding the Fourth Proportional to 134,643.81, 185,805.15 and 74,213.12

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Solution

The fourth proportional to 134,643.81, 185,805.15 and 74,213.12 is: 102,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,643.81 : 185,805.15 = 74,213.12 : x
  2. Step 2: Convert to fraction form
    134,643.81/185,805.15 = 74,213.12/x
  3. Step 3: Cross multiply
    134,643.81x = 185,805.15 × 74,213.12
  4. Step 4: Simplify right side
    134,643.81x = 13,789,178,964.54
  5. Step 5: Solve for x
    x = 13,789,178,964.54/134,643.81
  6. Step 6: Final answer
    x = 102,412.28

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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.