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Finding the Fourth Proportional to 101,172, 139,617.44 and 56,460

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Solution

The fourth proportional to 101,172, 139,617.44 and 56,460 is: 77,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,172 : 139,617.44 = 56,460 : x
  2. Step 2: Convert to fraction form
    101,172/139,617.44 = 56,460/x
  3. Step 3: Cross multiply
    101,172x = 139,617.44 × 56,460
  4. Step 4: Simplify right side
    101,172x = 7,882,800,662.40
  5. Step 5: Solve for x
    x = 7,882,800,662.40/101,172
  6. Step 6: Final answer
    x = 77,914.84

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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.