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Finding the Fourth Proportional to 77,408.91, 106,825.47 and 43,424.94

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Solution

The fourth proportional to 77,408.91, 106,825.47 and 43,424.94 is: 59,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.91 : 106,825.47 = 43,424.94 : x
  2. Step 2: Convert to fraction form
    77,408.91/106,825.47 = 43,424.94/x
  3. Step 3: Cross multiply
    77,408.91x = 106,825.47 × 43,424.94
  4. Step 4: Simplify right side
    77,408.91x = 4,638,889,625.22
  5. Step 5: Solve for x
    x = 4,638,889,625.22/77,408.91
  6. Step 6: Final answer
    x = 59,927.08

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1.5x scale

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.