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Finding the Fourth Proportional to 106,858, 147,462.42 and 76,287.52

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Solution

The fourth proportional to 106,858, 147,462.42 and 76,287.52 is: 105,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,858 : 147,462.42 = 76,287.52 : x
  2. Step 2: Convert to fraction form
    106,858/147,462.42 = 76,287.52/x
  3. Step 3: Cross multiply
    106,858x = 147,462.42 × 76,287.52
  4. Step 4: Simplify right side
    106,858x = 11,249,542,315.00
  5. Step 5: Solve for x
    x = 11,249,542,315.00/106,858
  6. Step 6: Final answer
    x = 105,275.62

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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.