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Finding the Fourth Proportional to 101,338.26, 139,844.57 and 56,014.50

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Solution

The fourth proportional to 101,338.26, 139,844.57 and 56,014.50 is: 77,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,338.26 : 139,844.57 = 56,014.50 : x
  2. Step 2: Convert to fraction form
    101,338.26/139,844.57 = 56,014.50/x
  3. Step 3: Cross multiply
    101,338.26x = 139,844.57 × 56,014.50
  4. Step 4: Simplify right side
    101,338.26x = 7,833,323,386.19
  5. Step 5: Solve for x
    x = 7,833,323,386.19/101,338.26
  6. Step 6: Final answer
    x = 77,298.78

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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.