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Finding the Fourth Proportional to 186,987.96, 280,274.18 and 142,467.93

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Solution

The fourth proportional to 186,987.96, 280,274.18 and 142,467.93 is: 213,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987.96 : 280,274.18 = 142,467.93 : x
  2. Step 2: Convert to fraction form
    186,987.96/280,274.18 = 142,467.93/x
  3. Step 3: Cross multiply
    186,987.96x = 280,274.18 × 142,467.93
  4. Step 4: Simplify right side
    186,987.96x = 39,930,081,544.71
  5. Step 5: Solve for x
    x = 39,930,081,544.71/186,987.96
  6. Step 6: Final answer
    x = 213,543.60

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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.