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Finding the Fourth Proportional to 186,978.90, 280,468.80 and 74,668.26

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Solution

The fourth proportional to 186,978.90, 280,468.80 and 74,668.26 is: 112,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978.90 : 280,468.80 = 74,668.26 : x
  2. Step 2: Convert to fraction form
    186,978.90/280,468.80 = 74,668.26/x
  3. Step 3: Cross multiply
    186,978.90x = 280,468.80 × 74,668.26
  4. Step 4: Simplify right side
    186,978.90x = 20,942,117,280.29
  5. Step 5: Solve for x
    x = 20,942,117,280.29/186,978.90
  6. Step 6: Final answer
    x = 112,002.57

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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.