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Finding the Fourth Proportional to 119,164.82, 164,378.80 and 71,390.50

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Solution

The fourth proportional to 119,164.82, 164,378.80 and 71,390.50 is: 98,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.82 : 164,378.80 = 71,390.50 : x
  2. Step 2: Convert to fraction form
    119,164.82/164,378.80 = 71,390.50/x
  3. Step 3: Cross multiply
    119,164.82x = 164,378.80 × 71,390.50
  4. Step 4: Simplify right side
    119,164.82x = 11,735,084,131.98
  5. Step 5: Solve for x
    x = 11,735,084,131.98/119,164.82
  6. Step 6: Final answer
    x = 98,477.75

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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.