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Finding the Fourth Proportional to 103,059.75, 142,222.47 and 58,347.75

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Solution

The fourth proportional to 103,059.75, 142,222.47 and 58,347.75 is: 80,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059.75 : 142,222.47 = 58,347.75 : x
  2. Step 2: Convert to fraction form
    103,059.75/142,222.47 = 58,347.75/x
  3. Step 3: Cross multiply
    103,059.75x = 142,222.47 × 58,347.75
  4. Step 4: Simplify right side
    103,059.75x = 8,298,361,123.94
  5. Step 5: Solve for x
    x = 8,298,361,123.94/103,059.75
  6. Step 6: Final answer
    x = 80,519.90

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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.