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Finding the Fourth Proportional to 119,897.66, 165,457.83 and 66,182.66

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Solution

The fourth proportional to 119,897.66, 165,457.83 and 66,182.66 is: 91,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,897.66 : 165,457.83 = 66,182.66 : x
  2. Step 2: Convert to fraction form
    119,897.66/165,457.83 = 66,182.66/x
  3. Step 3: Cross multiply
    119,897.66x = 165,457.83 × 66,182.66
  4. Step 4: Simplify right side
    119,897.66x = 10,950,438,479.94
  5. Step 5: Solve for x
    x = 10,950,438,479.94/119,897.66
  6. Step 6: Final answer
    x = 91,331.55

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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.