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Finding the Fourth Proportional to 119,889.35, 165,436.82 and 76,792.81

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Solution

The fourth proportional to 119,889.35, 165,436.82 and 76,792.81 is: 105,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,889.35 : 165,436.82 = 76,792.81 : x
  2. Step 2: Convert to fraction form
    119,889.35/165,436.82 = 76,792.81/x
  3. Step 3: Cross multiply
    119,889.35x = 165,436.82 × 76,792.81
  4. Step 4: Simplify right side
    119,889.35x = 12,704,358,285.26
  5. Step 5: Solve for x
    x = 12,704,358,285.26/119,889.35
  6. Step 6: Final answer
    x = 105,967.36

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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.