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Finding the Fourth Proportional to 219,492.86, 329,239.40 and 61,721.30

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Solution

The fourth proportional to 219,492.86, 329,239.40 and 61,721.30 is: 92,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,492.86 : 329,239.40 = 61,721.30 : x
  2. Step 2: Convert to fraction form
    219,492.86/329,239.40 = 61,721.30/x
  3. Step 3: Cross multiply
    219,492.86x = 329,239.40 × 61,721.30
  4. Step 4: Simplify right side
    219,492.86x = 20,321,083,779.22
  5. Step 5: Solve for x
    x = 20,321,083,779.22/219,492.86
  6. Step 6: Final answer
    x = 92,581.98

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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.