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Finding the Fourth Proportional to 119,683.60, 165,164.48 and 65,970.56

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Solution

The fourth proportional to 119,683.60, 165,164.48 and 65,970.56 is: 91,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,683.60 : 165,164.48 = 65,970.56 : x
  2. Step 2: Convert to fraction form
    119,683.60/165,164.48 = 65,970.56/x
  3. Step 3: Cross multiply
    119,683.60x = 165,164.48 × 65,970.56
  4. Step 4: Simplify right side
    119,683.60x = 10,895,993,237.71
  5. Step 5: Solve for x
    x = 10,895,993,237.71/119,683.60
  6. Step 6: Final answer
    x = 91,039.99

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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.