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Finding the Fourth Proportional to 119,708.16, 165,200.80 and 65,995.44

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Solution

The fourth proportional to 119,708.16, 165,200.80 and 65,995.44 is: 91,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,708.16 : 165,200.80 = 65,995.44 : x
  2. Step 2: Convert to fraction form
    119,708.16/165,200.80 = 65,995.44/x
  3. Step 3: Cross multiply
    119,708.16x = 165,200.80 × 65,995.44
  4. Step 4: Simplify right side
    119,708.16x = 10,902,499,484.35
  5. Step 5: Solve for x
    x = 10,902,499,484.35/119,708.16
  6. Step 6: Final answer
    x = 91,075.66

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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.