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Finding the Fourth Proportional to 72,966.80, 109,116.66 and 53,043.22

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Solution

The fourth proportional to 72,966.80, 109,116.66 and 53,043.22 is: 79,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,966.80 : 109,116.66 = 53,043.22 : x
  2. Step 2: Convert to fraction form
    72,966.80/109,116.66 = 53,043.22/x
  3. Step 3: Cross multiply
    72,966.80x = 109,116.66 × 53,043.22
  4. Step 4: Simplify right side
    72,966.80x = 5,787,899,002.05
  5. Step 5: Solve for x
    x = 5,787,899,002.05/72,966.80
  6. Step 6: Final answer
    x = 79,322.36

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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.