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Finding the Fourth Proportional to 186,822, 280,349.64 and 76,014

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Solution

The fourth proportional to 186,822, 280,349.64 and 76,014 is: 114,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822 : 280,349.64 = 76,014 : x
  2. Step 2: Convert to fraction form
    186,822/280,349.64 = 76,014/x
  3. Step 3: Cross multiply
    186,822x = 280,349.64 × 76,014
  4. Step 4: Simplify right side
    186,822x = 21,310,497,534.96
  5. Step 5: Solve for x
    x = 21,310,497,534.96/186,822
  6. Step 6: Final answer
    x = 114,068.46

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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.