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Finding the Fourth Proportional to 104,392.50, 156,614.76 and 30,520.50

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Solution

The fourth proportional to 104,392.50, 156,614.76 and 30,520.50 is: 45,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,392.50 : 156,614.76 = 30,520.50 : x
  2. Step 2: Convert to fraction form
    104,392.50/156,614.76 = 30,520.50/x
  3. Step 3: Cross multiply
    104,392.50x = 156,614.76 × 30,520.50
  4. Step 4: Simplify right side
    104,392.50x = 4,779,960,782.58
  5. Step 5: Solve for x
    x = 4,779,960,782.58/104,392.50
  6. Step 6: Final answer
    x = 45,788.35

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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.