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Finding the Fourth Proportional to 135,458.33, 186,935.52 and 77,313.90

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Solution

The fourth proportional to 135,458.33, 186,935.52 and 77,313.90 is: 106,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,458.33 : 186,935.52 = 77,313.90 : x
  2. Step 2: Convert to fraction form
    135,458.33/186,935.52 = 77,313.90/x
  3. Step 3: Cross multiply
    135,458.33x = 186,935.52 × 77,313.90
  4. Step 4: Simplify right side
    135,458.33x = 14,452,713,953.14
  5. Step 5: Solve for x
    x = 14,452,713,953.14/135,458.33
  6. Step 6: Final answer
    x = 106,694.91

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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.