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Finding the Fourth Proportional to 104,859.34, 144,708.71 and 57,115.76

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Solution

The fourth proportional to 104,859.34, 144,708.71 and 57,115.76 is: 78,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,859.34 : 144,708.71 = 57,115.76 : x
  2. Step 2: Convert to fraction form
    104,859.34/144,708.71 = 57,115.76/x
  3. Step 3: Cross multiply
    104,859.34x = 144,708.71 × 57,115.76
  4. Step 4: Simplify right side
    104,859.34x = 8,265,146,941.15
  5. Step 5: Solve for x
    x = 8,265,146,941.15/104,859.34
  6. Step 6: Final answer
    x = 78,821.28

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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.