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Finding the Fourth Proportional to 186,979.86, 280,580.76 and 74,713.05

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Solution

The fourth proportional to 186,979.86, 280,580.76 and 74,713.05 is: 112,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,979.86 : 280,580.76 = 74,713.05 : x
  2. Step 2: Convert to fraction form
    186,979.86/280,580.76 = 74,713.05/x
  3. Step 3: Cross multiply
    186,979.86x = 280,580.76 × 74,713.05
  4. Step 4: Simplify right side
    186,979.86x = 20,963,044,350.92
  5. Step 5: Solve for x
    x = 20,963,044,350.92/186,979.86
  6. Step 6: Final answer
    x = 112,113.92

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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.