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Finding the Fourth Proportional to 119,604.60, 165,024.54 and 77,112

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Solution

The fourth proportional to 119,604.60, 165,024.54 and 77,112 is: 106,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,604.60 : 165,024.54 = 77,112 : x
  2. Step 2: Convert to fraction form
    119,604.60/165,024.54 = 77,112/x
  3. Step 3: Cross multiply
    119,604.60x = 165,024.54 × 77,112
  4. Step 4: Simplify right side
    119,604.60x = 12,725,372,328.48
  5. Step 5: Solve for x
    x = 12,725,372,328.48/119,604.60
  6. Step 6: Final answer
    x = 106,395.34

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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.