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Finding the Fourth Proportional to 77,153.92, 106,473.36 and 43,619.20

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Solution

The fourth proportional to 77,153.92, 106,473.36 and 43,619.20 is: 60,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153.92 : 106,473.36 = 43,619.20 : x
  2. Step 2: Convert to fraction form
    77,153.92/106,473.36 = 43,619.20/x
  3. Step 3: Cross multiply
    77,153.92x = 106,473.36 × 43,619.20
  4. Step 4: Simplify right side
    77,153.92x = 4,644,282,784.51
  5. Step 5: Solve for x
    x = 4,644,282,784.51/77,153.92
  6. Step 6: Final answer
    x = 60,195.03

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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.