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Finding the Fourth Proportional to 77,223.76, 106,578.12 and 43,683.28

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Solution

The fourth proportional to 77,223.76, 106,578.12 and 43,683.28 is: 60,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,223.76 : 106,578.12 = 43,683.28 : x
  2. Step 2: Convert to fraction form
    77,223.76/106,578.12 = 43,683.28/x
  3. Step 3: Cross multiply
    77,223.76x = 106,578.12 × 43,683.28
  4. Step 4: Simplify right side
    77,223.76x = 4,655,681,857.83
  5. Step 5: Solve for x
    x = 4,655,681,857.83/77,223.76
  6. Step 6: Final answer
    x = 60,288.20

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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.