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Finding the Fourth Proportional to 134,382.63, 185,449.44 and 77,020.71

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Solution

The fourth proportional to 134,382.63, 185,449.44 and 77,020.71 is: 106,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,382.63 : 185,449.44 = 77,020.71 : x
  2. Step 2: Convert to fraction form
    134,382.63/185,449.44 = 77,020.71/x
  3. Step 3: Cross multiply
    134,382.63x = 185,449.44 × 77,020.71
  4. Step 4: Simplify right side
    134,382.63x = 14,283,447,537.90
  5. Step 5: Solve for x
    x = 14,283,447,537.90/134,382.63
  6. Step 6: Final answer
    x = 106,289.39

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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.