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Finding the Fourth Proportional to 219,742.40, 329,548.80 and 86,578.40

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Solution

The fourth proportional to 219,742.40, 329,548.80 and 86,578.40 is: 129,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,742.40 : 329,548.80 = 86,578.40 : x
  2. Step 2: Convert to fraction form
    219,742.40/329,548.80 = 86,578.40/x
  3. Step 3: Cross multiply
    219,742.40x = 329,548.80 × 86,578.40
  4. Step 4: Simplify right side
    219,742.40x = 28,531,807,825.92
  5. Step 5: Solve for x
    x = 28,531,807,825.92/219,742.40
  6. Step 6: Final answer
    x = 129,842.07

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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.