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Finding the Fourth Proportional to 101,429, 139,969.44 and 56,108.84

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Solution

The fourth proportional to 101,429, 139,969.44 and 56,108.84 is: 77,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,429 : 139,969.44 = 56,108.84 : x
  2. Step 2: Convert to fraction form
    101,429/139,969.44 = 56,108.84/x
  3. Step 3: Cross multiply
    101,429x = 139,969.44 × 56,108.84
  4. Step 4: Simplify right side
    101,429x = 7,853,522,913.85
  5. Step 5: Solve for x
    x = 7,853,522,913.85/101,429
  6. Step 6: Final answer
    x = 77,428.77

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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.