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Finding the Fourth Proportional to 119,489.69, 164,895.74 and 65,774.44

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Solution

The fourth proportional to 119,489.69, 164,895.74 and 65,774.44 is: 90,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,489.69 : 164,895.74 = 65,774.44 : x
  2. Step 2: Convert to fraction form
    119,489.69/164,895.74 = 65,774.44/x
  3. Step 3: Cross multiply
    119,489.69x = 164,895.74 × 65,774.44
  4. Step 4: Simplify right side
    119,489.69x = 10,845,924,215.77
  5. Step 5: Solve for x
    x = 10,845,924,215.77/119,489.69
  6. Step 6: Final answer
    x = 90,768.70

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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.