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Finding the Fourth Proportional to 156,783.70, 234,829.95 and 136,047.70

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Solution

The fourth proportional to 156,783.70, 234,829.95 and 136,047.70 is: 203,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783.70 : 234,829.95 = 136,047.70 : x
  2. Step 2: Convert to fraction form
    156,783.70/234,829.95 = 136,047.70/x
  3. Step 3: Cross multiply
    156,783.70x = 234,829.95 × 136,047.70
  4. Step 4: Simplify right side
    156,783.70x = 31,948,074,588.62
  5. Step 5: Solve for x
    x = 31,948,074,588.62/156,783.70
  6. Step 6: Final answer
    x = 203,771.66

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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.