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Finding the Fourth Proportional to 71,703.36, 107,475.36 and 54,116.16

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Solution

The fourth proportional to 71,703.36, 107,475.36 and 54,116.16 is: 81,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.36 : 107,475.36 = 54,116.16 : x
  2. Step 2: Convert to fraction form
    71,703.36/107,475.36 = 54,116.16/x
  3. Step 3: Cross multiply
    71,703.36x = 107,475.36 × 54,116.16
  4. Step 4: Simplify right side
    71,703.36x = 5,816,153,777.82
  5. Step 5: Solve for x
    x = 5,816,153,777.82/71,703.36
  6. Step 6: Final answer
    x = 81,114.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.