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Finding the Fourth Proportional to 186,506.72, 279,537.84 and 107,457.12

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Solution

The fourth proportional to 186,506.72, 279,537.84 and 107,457.12 is: 161,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,506.72 : 279,537.84 = 107,457.12 : x
  2. Step 2: Convert to fraction form
    186,506.72/279,537.84 = 107,457.12/x
  3. Step 3: Cross multiply
    186,506.72x = 279,537.84 × 107,457.12
  4. Step 4: Simplify right side
    186,506.72x = 30,038,331,217.42
  5. Step 5: Solve for x
    x = 30,038,331,217.42/186,506.72
  6. Step 6: Final answer
    x = 161,057.63

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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.