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Finding the Fourth Proportional to 186,446.77, 279,419.86 and 102,079.60

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Solution

The fourth proportional to 186,446.77, 279,419.86 and 102,079.60 is: 152,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446.77 : 279,419.86 = 102,079.60 : x
  2. Step 2: Convert to fraction form
    186,446.77/279,419.86 = 102,079.60/x
  3. Step 3: Cross multiply
    186,446.77x = 279,419.86 × 102,079.60
  4. Step 4: Simplify right side
    186,446.77x = 28,523,066,969.91
  5. Step 5: Solve for x
    x = 28,523,066,969.91/186,446.77
  6. Step 6: Final answer
    x = 152,982.36

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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.