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Finding the Fourth Proportional to 156,978.80, 235,468.20 and 78,246.80

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Solution

The fourth proportional to 156,978.80, 235,468.20 and 78,246.80 is: 117,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.80 : 235,468.20 = 78,246.80 : x
  2. Step 2: Convert to fraction form
    156,978.80/235,468.20 = 78,246.80/x
  3. Step 3: Cross multiply
    156,978.80x = 235,468.20 × 78,246.80
  4. Step 4: Simplify right side
    156,978.80x = 18,424,633,151.76
  5. Step 5: Solve for x
    x = 18,424,633,151.76/156,978.80
  6. Step 6: Final answer
    x = 117,370.20

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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.