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Finding the Fourth Proportional to 186,980.86, 280,388.26 and 53,830.02

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Solution

The fourth proportional to 186,980.86, 280,388.26 and 53,830.02 is: 80,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,980.86 : 280,388.26 = 53,830.02 : x
  2. Step 2: Convert to fraction form
    186,980.86/280,388.26 = 53,830.02/x
  3. Step 3: Cross multiply
    186,980.86x = 280,388.26 × 53,830.02
  4. Step 4: Simplify right side
    186,980.86x = 15,093,305,643.57
  5. Step 5: Solve for x
    x = 15,093,305,643.57/186,980.86
  6. Step 6: Final answer
    x = 80,721.13

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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.