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Finding the Fourth Proportional to 119,805.05, 165,384.11 and 77,384.27

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Solution

The fourth proportional to 119,805.05, 165,384.11 and 77,384.27 is: 106,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,805.05 : 165,384.11 = 77,384.27 : x
  2. Step 2: Convert to fraction form
    119,805.05/165,384.11 = 77,384.27/x
  3. Step 3: Cross multiply
    119,805.05x = 165,384.11 × 77,384.27
  4. Step 4: Simplify right side
    119,805.05x = 12,798,128,621.95
  5. Step 5: Solve for x
    x = 12,798,128,621.95/119,805.05
  6. Step 6: Final answer
    x = 106,824.62

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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.