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Finding the Fourth Proportional to 77,408, 106,824.28 and 43,424.06

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Solution

The fourth proportional to 77,408, 106,824.28 and 43,424.06 is: 59,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408 : 106,824.28 = 43,424.06 : x
  2. Step 2: Convert to fraction form
    77,408/106,824.28 = 43,424.06/x
  3. Step 3: Cross multiply
    77,408x = 106,824.28 × 43,424.06
  4. Step 4: Simplify right side
    77,408x = 4,638,743,944.18
  5. Step 5: Solve for x
    x = 4,638,743,944.18/77,408
  6. Step 6: Final answer
    x = 59,925.90

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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.