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Finding the Fourth Proportional to 156,980.40, 235,465.40 and 68,234.02

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Solution

The fourth proportional to 156,980.40, 235,465.40 and 68,234.02 is: 102,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.40 : 235,465.40 = 68,234.02 : x
  2. Step 2: Convert to fraction form
    156,980.40/235,465.40 = 68,234.02/x
  3. Step 3: Cross multiply
    156,980.40x = 235,465.40 × 68,234.02
  4. Step 4: Simplify right side
    156,980.40x = 16,066,750,812.91
  5. Step 5: Solve for x
    x = 16,066,750,812.91/156,980.40
  6. Step 6: Final answer
    x = 102,348.77

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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.