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Finding the Fourth Proportional to 119,107.45, 164,368.56 and 65,395.91

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Solution

The fourth proportional to 119,107.45, 164,368.56 and 65,395.91 is: 90,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,107.45 : 164,368.56 = 65,395.91 : x
  2. Step 2: Convert to fraction form
    119,107.45/164,368.56 = 65,395.91/x
  3. Step 3: Cross multiply
    119,107.45x = 164,368.56 × 65,395.91
  4. Step 4: Simplify right side
    119,107.45x = 10,749,030,920.32
  5. Step 5: Solve for x
    x = 10,749,030,920.32/119,107.45
  6. Step 6: Final answer
    x = 90,246.51

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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.