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Finding the Fourth Proportional to 188,703.76, 283,090.20 and 77,835.28

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Solution

The fourth proportional to 188,703.76, 283,090.20 and 77,835.28 is: 116,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,703.76 : 283,090.20 = 77,835.28 : x
  2. Step 2: Convert to fraction form
    188,703.76/283,090.20 = 77,835.28/x
  3. Step 3: Cross multiply
    188,703.76x = 283,090.20 × 77,835.28
  4. Step 4: Simplify right side
    188,703.76x = 22,034,404,982.26
  5. Step 5: Solve for x
    x = 22,034,404,982.26/188,703.76
  6. Step 6: Final answer
    x = 116,767.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.