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Finding the Fourth Proportional to 119,871.89, 165,483.09 and 74,564.45

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Solution

The fourth proportional to 119,871.89, 165,483.09 and 74,564.45 is: 102,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,871.89 : 165,483.09 = 74,564.45 : x
  2. Step 2: Convert to fraction form
    119,871.89/165,483.09 = 74,564.45/x
  3. Step 3: Cross multiply
    119,871.89x = 165,483.09 × 74,564.45
  4. Step 4: Simplify right side
    119,871.89x = 12,339,154,762.74
  5. Step 5: Solve for x
    x = 12,339,154,762.74/119,871.89
  6. Step 6: Final answer
    x = 102,936.19

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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.