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Finding the Fourth Proportional to 78,852.20, 118,310.70 and 28,956.20

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Solution

The fourth proportional to 78,852.20, 118,310.70 and 28,956.20 is: 43,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,852.20 : 118,310.70 = 28,956.20 : x
  2. Step 2: Convert to fraction form
    78,852.20/118,310.70 = 28,956.20/x
  3. Step 3: Cross multiply
    78,852.20x = 118,310.70 × 28,956.20
  4. Step 4: Simplify right side
    78,852.20x = 3,425,828,291.34
  5. Step 5: Solve for x
    x = 3,425,828,291.34/78,852.20
  6. Step 6: Final answer
    x = 43,446.20

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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.