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Finding the Fourth Proportional to 134,509, 185,635.38 and 74,893

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Solution

The fourth proportional to 134,509, 185,635.38 and 74,893 is: 103,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,509 : 185,635.38 = 74,893 : x
  2. Step 2: Convert to fraction form
    134,509/185,635.38 = 74,893/x
  3. Step 3: Cross multiply
    134,509x = 185,635.38 × 74,893
  4. Step 4: Simplify right side
    134,509x = 13,902,790,514.34
  5. Step 5: Solve for x
    x = 13,902,790,514.34/134,509
  6. Step 6: Final answer
    x = 103,359.56

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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.