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Finding the Fourth Proportional to 106,429.68, 146,874 and 58,684.74

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Solution

The fourth proportional to 106,429.68, 146,874 and 58,684.74 is: 80,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429.68 : 146,874 = 58,684.74 : x
  2. Step 2: Convert to fraction form
    106,429.68/146,874 = 58,684.74/x
  3. Step 3: Cross multiply
    106,429.68x = 146,874 × 58,684.74
  4. Step 4: Simplify right side
    106,429.68x = 8,619,262,502.76
  5. Step 5: Solve for x
    x = 8,619,262,502.76/106,429.68
  6. Step 6: Final answer
    x = 80,985.52

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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.