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Finding the Fourth Proportional to 119,205.19, 164,504.28 and 65,491.32

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Solution

The fourth proportional to 119,205.19, 164,504.28 and 65,491.32 is: 90,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205.19 : 164,504.28 = 65,491.32 : x
  2. Step 2: Convert to fraction form
    119,205.19/164,504.28 = 65,491.32/x
  3. Step 3: Cross multiply
    119,205.19x = 164,504.28 × 65,491.32
  4. Step 4: Simplify right side
    119,205.19x = 10,773,602,442.85
  5. Step 5: Solve for x
    x = 10,773,602,442.85/119,205.19
  6. Step 6: Final answer
    x = 90,378.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.