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Finding the Fourth Proportional to 134,159, 185,139.46 and 74,543

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Solution

The fourth proportional to 134,159, 185,139.46 and 74,543 is: 102,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,159 : 185,139.46 = 74,543 : x
  2. Step 2: Convert to fraction form
    134,159/185,139.46 = 74,543/x
  3. Step 3: Cross multiply
    134,159x = 185,139.46 × 74,543
  4. Step 4: Simplify right side
    134,159x = 13,800,850,766.78
  5. Step 5: Solve for x
    x = 13,800,850,766.78/134,159
  6. Step 6: Final answer
    x = 102,869.36

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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.