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Finding the Fourth Proportional to 145,861.50, 201,289.05 and 78,793.50

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Solution

The fourth proportional to 145,861.50, 201,289.05 and 78,793.50 is: 108,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,861.50 : 201,289.05 = 78,793.50 : x
  2. Step 2: Convert to fraction form
    145,861.50/201,289.05 = 78,793.50/x
  3. Step 3: Cross multiply
    145,861.50x = 201,289.05 × 78,793.50
  4. Step 4: Simplify right side
    145,861.50x = 15,860,268,761.18
  5. Step 5: Solve for x
    x = 15,860,268,761.18/145,861.50
  6. Step 6: Final answer
    x = 108,735.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.