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Finding the Fourth Proportional to 103,059, 142,221.42 and 58,347

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Solution

The fourth proportional to 103,059, 142,221.42 and 58,347 is: 80,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059 : 142,221.42 = 58,347 : x
  2. Step 2: Convert to fraction form
    103,059/142,221.42 = 58,347/x
  3. Step 3: Cross multiply
    103,059x = 142,221.42 × 58,347
  4. Step 4: Simplify right side
    103,059x = 8,298,193,192.74
  5. Step 5: Solve for x
    x = 8,298,193,192.74/103,059
  6. Step 6: Final answer
    x = 80,518.86

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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.