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Finding the Fourth Proportional to 219,734.90, 329,537.55 and 86,570.90

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Solution

The fourth proportional to 219,734.90, 329,537.55 and 86,570.90 is: 129,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,734.90 : 329,537.55 = 86,570.90 : x
  2. Step 2: Convert to fraction form
    219,734.90/329,537.55 = 86,570.90/x
  3. Step 3: Cross multiply
    219,734.90x = 329,537.55 × 86,570.90
  4. Step 4: Simplify right side
    219,734.90x = 28,528,362,287.30
  5. Step 5: Solve for x
    x = 28,528,362,287.30/219,734.90
  6. Step 6: Final answer
    x = 129,830.82

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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.