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Finding the Fourth Proportional to 219,209.96, 328,829.52 and 77,038.04

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Solution

The fourth proportional to 219,209.96, 328,829.52 and 77,038.04 is: 115,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209.96 : 328,829.52 = 77,038.04 : x
  2. Step 2: Convert to fraction form
    219,209.96/328,829.52 = 77,038.04/x
  3. Step 3: Cross multiply
    219,209.96x = 328,829.52 × 77,038.04
  4. Step 4: Simplify right side
    219,209.96x = 25,332,381,714.94
  5. Step 5: Solve for x
    x = 25,332,381,714.94/219,209.96
  6. Step 6: Final answer
    x = 115,562.18

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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.