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Finding the Fourth Proportional to 156,970.80, 235,456.20 and 78,238.80

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Solution

The fourth proportional to 156,970.80, 235,456.20 and 78,238.80 is: 117,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.80 : 235,456.20 = 78,238.80 : x
  2. Step 2: Convert to fraction form
    156,970.80/235,456.20 = 78,238.80/x
  3. Step 3: Cross multiply
    156,970.80x = 235,456.20 × 78,238.80
  4. Step 4: Simplify right side
    156,970.80x = 18,421,810,540.56
  5. Step 5: Solve for x
    x = 18,421,810,540.56/156,970.80
  6. Step 6: Final answer
    x = 117,358.20

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1.5x scale

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.