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Finding the Fourth Proportional to 105,458.48, 145,530 and 62,438.51

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Solution

The fourth proportional to 105,458.48, 145,530 and 62,438.51 is: 86,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.48 : 145,530 = 62,438.51 : x
  2. Step 2: Convert to fraction form
    105,458.48/145,530 = 62,438.51/x
  3. Step 3: Cross multiply
    105,458.48x = 145,530 × 62,438.51
  4. Step 4: Simplify right side
    105,458.48x = 9,086,675,632.65
  5. Step 5: Solve for x
    x = 9,086,675,632.65/105,458.48
  6. Step 6: Final answer
    x = 86,163.54

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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.