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Finding the Fourth Proportional to 103,431.78, 142,725.78 and 58,099.50

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Solution

The fourth proportional to 103,431.78, 142,725.78 and 58,099.50 is: 80,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,431.78 : 142,725.78 = 58,099.50 : x
  2. Step 2: Convert to fraction form
    103,431.78/142,725.78 = 58,099.50/x
  3. Step 3: Cross multiply
    103,431.78x = 142,725.78 × 58,099.50
  4. Step 4: Simplify right side
    103,431.78x = 8,292,296,455.11
  5. Step 5: Solve for x
    x = 8,292,296,455.11/103,431.78
  6. Step 6: Final answer
    x = 80,171.65

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1.5x scale

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.