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Finding the Fourth Proportional to 103,820.10, 155,730.15 and 101,851.80

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Solution

The fourth proportional to 103,820.10, 155,730.15 and 101,851.80 is: 152,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820.10 : 155,730.15 = 101,851.80 : x
  2. Step 2: Convert to fraction form
    103,820.10/155,730.15 = 101,851.80/x
  3. Step 3: Cross multiply
    103,820.10x = 155,730.15 × 101,851.80
  4. Step 4: Simplify right side
    103,820.10x = 15,861,396,091.77
  5. Step 5: Solve for x
    x = 15,861,396,091.77/103,820.10
  6. Step 6: Final answer
    x = 152,777.70

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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.