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Finding the Fourth Proportional to 186,878.40, 280,231.20 and 81,643.20

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Solution

The fourth proportional to 186,878.40, 280,231.20 and 81,643.20 is: 122,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,878.40 : 280,231.20 = 81,643.20 : x
  2. Step 2: Convert to fraction form
    186,878.40/280,231.20 = 81,643.20/x
  3. Step 3: Cross multiply
    186,878.40x = 280,231.20 × 81,643.20
  4. Step 4: Simplify right side
    186,878.40x = 22,878,971,907.84
  5. Step 5: Solve for x
    x = 22,878,971,907.84/186,878.40
  6. Step 6: Final answer
    x = 122,427.05

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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.