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Finding the Fourth Proportional to 105,429.71, 158,119.71 and 38,833.67

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Solution

The fourth proportional to 105,429.71, 158,119.71 and 38,833.67 is: 58,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,429.71 : 158,119.71 = 38,833.67 : x
  2. Step 2: Convert to fraction form
    105,429.71/158,119.71 = 38,833.67/x
  3. Step 3: Cross multiply
    105,429.71x = 158,119.71 × 38,833.67
  4. Step 4: Simplify right side
    105,429.71x = 6,140,367,848.04
  5. Step 5: Solve for x
    x = 6,140,367,848.04/105,429.71
  6. Step 6: Final answer
    x = 58,241.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.