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Finding the Fourth Proportional to 101,458.70, 140,017.13 and 56,135.95

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Solution

The fourth proportional to 101,458.70, 140,017.13 and 56,135.95 is: 77,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,458.70 : 140,017.13 = 56,135.95 : x
  2. Step 2: Convert to fraction form
    101,458.70/140,017.13 = 56,135.95/x
  3. Step 3: Cross multiply
    101,458.70x = 140,017.13 × 56,135.95
  4. Step 4: Simplify right side
    101,458.70x = 7,859,994,608.82
  5. Step 5: Solve for x
    x = 7,859,994,608.82/101,458.70
  6. Step 6: Final answer
    x = 77,469.89

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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.