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Finding the Fourth Proportional to 119,570.40, 165,008.21 and 65,857.28

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Solution

The fourth proportional to 119,570.40, 165,008.21 and 65,857.28 is: 90,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,570.40 : 165,008.21 = 65,857.28 : x
  2. Step 2: Convert to fraction form
    119,570.40/165,008.21 = 65,857.28/x
  3. Step 3: Cross multiply
    119,570.40x = 165,008.21 × 65,857.28
  4. Step 4: Simplify right side
    119,570.40x = 10,866,990,733.94
  5. Step 5: Solve for x
    x = 10,866,990,733.94/119,570.40
  6. Step 6: Final answer
    x = 90,883.62

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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.