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Finding the Fourth Proportional to 219,090.30, 328,765.05 and 78,830.70

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Solution

The fourth proportional to 219,090.30, 328,765.05 and 78,830.70 is: 118,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,090.30 : 328,765.05 = 78,830.70 : x
  2. Step 2: Convert to fraction form
    219,090.30/328,765.05 = 78,830.70/x
  3. Step 3: Cross multiply
    219,090.30x = 328,765.05 × 78,830.70
  4. Step 4: Simplify right side
    219,090.30x = 25,916,779,027.04
  5. Step 5: Solve for x
    x = 25,916,779,027.04/219,090.30
  6. Step 6: Final answer
    x = 118,292.68

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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.