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Finding the Fourth Proportional to 186,275.27, 279,460.07 and 53,156

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Solution

The fourth proportional to 186,275.27, 279,460.07 and 53,156 is: 79,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275.27 : 279,460.07 = 53,156 : x
  2. Step 2: Convert to fraction form
    186,275.27/279,460.07 = 53,156/x
  3. Step 3: Cross multiply
    186,275.27x = 279,460.07 × 53,156
  4. Step 4: Simplify right side
    186,275.27x = 14,854,979,215.14
  5. Step 5: Solve for x
    x = 14,854,979,215.14/186,275.27
  6. Step 6: Final answer
    x = 79,747.46

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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.