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Finding the Fourth Proportional to 186,509.75, 279,764.63 and 53,390.48

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Solution

The fourth proportional to 186,509.75, 279,764.63 and 53,390.48 is: 80,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,509.75 : 279,764.63 = 53,390.48 : x
  2. Step 2: Convert to fraction form
    186,509.75/279,764.63 = 53,390.48/x
  3. Step 3: Cross multiply
    186,509.75x = 279,764.63 × 53,390.48
  4. Step 4: Simplify right side
    186,509.75x = 14,936,767,882.72
  5. Step 5: Solve for x
    x = 14,936,767,882.72/186,509.75
  6. Step 6: Final answer
    x = 80,085.72

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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.