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Finding the Fourth Proportional to 77,032, 106,315.50 and 45,218.44

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Solution

The fourth proportional to 77,032, 106,315.50 and 45,218.44 is: 62,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,032 : 106,315.50 = 45,218.44 : x
  2. Step 2: Convert to fraction form
    77,032/106,315.50 = 45,218.44/x
  3. Step 3: Cross multiply
    77,032x = 106,315.50 × 45,218.44
  4. Step 4: Simplify right side
    77,032x = 4,807,421,057.82
  5. Step 5: Solve for x
    x = 4,807,421,057.82/77,032
  6. Step 6: Final answer
    x = 62,408.10

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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.