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Finding the Fourth Proportional to 104,894.31, 144,750.29 and 57,146.63

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Solution

The fourth proportional to 104,894.31, 144,750.29 and 57,146.63 is: 78,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,894.31 : 144,750.29 = 57,146.63 : x
  2. Step 2: Convert to fraction form
    104,894.31/144,750.29 = 57,146.63/x
  3. Step 3: Cross multiply
    104,894.31x = 144,750.29 × 57,146.63
  4. Step 4: Simplify right side
    104,894.31x = 8,271,991,391.21
  5. Step 5: Solve for x
    x = 8,271,991,391.21/104,894.31
  6. Step 6: Final answer
    x = 78,860.25

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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.