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Finding the Fourth Proportional to 102,037.56, 153,072.12 and 52,090.56

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Solution

The fourth proportional to 102,037.56, 153,072.12 and 52,090.56 is: 78,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.56 : 153,072.12 = 52,090.56 : x
  2. Step 2: Convert to fraction form
    102,037.56/153,072.12 = 52,090.56/x
  3. Step 3: Cross multiply
    102,037.56x = 153,072.12 × 52,090.56
  4. Step 4: Simplify right side
    102,037.56x = 7,973,612,451.19
  5. Step 5: Solve for x
    x = 7,973,612,451.19/102,037.56
  6. Step 6: Final answer
    x = 78,143.90

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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.