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Finding the Fourth Proportional to 188,762.10, 282,946.30 and 76,519.78

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Solution

The fourth proportional to 188,762.10, 282,946.30 and 76,519.78 is: 114,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,762.10 : 282,946.30 = 76,519.78 : x
  2. Step 2: Convert to fraction form
    188,762.10/282,946.30 = 76,519.78/x
  3. Step 3: Cross multiply
    188,762.10x = 282,946.30 × 76,519.78
  4. Step 4: Simplify right side
    188,762.10x = 21,650,988,627.81
  5. Step 5: Solve for x
    x = 21,650,988,627.81/188,762.10
  6. Step 6: Final answer
    x = 114,699.87

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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.