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Finding the Fourth Proportional to 77,280, 106,647.48 and 45,013.77

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Solution

The fourth proportional to 77,280, 106,647.48 and 45,013.77 is: 62,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 106,647.48 = 45,013.77 : x
  2. Step 2: Convert to fraction form
    77,280/106,647.48 = 45,013.77/x
  3. Step 3: Cross multiply
    77,280x = 106,647.48 × 45,013.77
  4. Step 4: Simplify right side
    77,280x = 4,800,605,135.80
  5. Step 5: Solve for x
    x = 4,800,605,135.80/77,280
  6. Step 6: Final answer
    x = 62,119.63

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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.