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Finding the Fourth Proportional to 156,970.20, 235,584.90 and 72,859.80

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Solution

The fourth proportional to 156,970.20, 235,584.90 and 72,859.80 is: 109,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.20 : 235,584.90 = 72,859.80 : x
  2. Step 2: Convert to fraction form
    156,970.20/235,584.90 = 72,859.80/x
  3. Step 3: Cross multiply
    156,970.20x = 235,584.90 × 72,859.80
  4. Step 4: Simplify right side
    156,970.20x = 17,164,668,697.02
  5. Step 5: Solve for x
    x = 17,164,668,697.02/156,970.20
  6. Step 6: Final answer
    x = 109,349.86

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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.