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Finding the Fourth Proportional to 219,354.72, 329,038.80 and 75,258.52

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Solution

The fourth proportional to 219,354.72, 329,038.80 and 75,258.52 is: 112,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,354.72 : 329,038.80 = 75,258.52 : x
  2. Step 2: Convert to fraction form
    219,354.72/329,038.80 = 75,258.52/x
  3. Step 3: Cross multiply
    219,354.72x = 329,038.80 × 75,258.52
  4. Step 4: Simplify right side
    219,354.72x = 24,762,973,110.58
  5. Step 5: Solve for x
    x = 24,762,973,110.58/219,354.72
  6. Step 6: Final answer
    x = 112,890.09

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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.