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Finding the Fourth Proportional to 103,132.88, 142,314.54 and 57,194

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Solution

The fourth proportional to 103,132.88, 142,314.54 and 57,194 is: 78,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,132.88 : 142,314.54 = 57,194 : x
  2. Step 2: Convert to fraction form
    103,132.88/142,314.54 = 57,194/x
  3. Step 3: Cross multiply
    103,132.88x = 142,314.54 × 57,194
  4. Step 4: Simplify right side
    103,132.88x = 8,139,537,800.76
  5. Step 5: Solve for x
    x = 8,139,537,800.76/103,132.88
  6. Step 6: Final answer
    x = 78,922.82

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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.