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Finding the Fourth Proportional to 101,716.76, 140,369.18 and 56,395.29

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Solution

The fourth proportional to 101,716.76, 140,369.18 and 56,395.29 is: 77,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,716.76 : 140,369.18 = 56,395.29 : x
  2. Step 2: Convert to fraction form
    101,716.76/140,369.18 = 56,395.29/x
  3. Step 3: Cross multiply
    101,716.76x = 140,369.18 × 56,395.29
  4. Step 4: Simplify right side
    101,716.76x = 7,916,160,226.61
  5. Step 5: Solve for x
    x = 7,916,160,226.61/101,716.76
  6. Step 6: Final answer
    x = 77,825.52

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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.