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Finding the Fourth Proportional to 72,979.72, 109,513.72 and 35,582

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Solution

The fourth proportional to 72,979.72, 109,513.72 and 35,582 is: 53,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,979.72 : 109,513.72 = 35,582 : x
  2. Step 2: Convert to fraction form
    72,979.72/109,513.72 = 35,582/x
  3. Step 3: Cross multiply
    72,979.72x = 109,513.72 × 35,582
  4. Step 4: Simplify right side
    72,979.72x = 3,896,717,185.04
  5. Step 5: Solve for x
    x = 3,896,717,185.04/72,979.72
  6. Step 6: Final answer
    x = 53,394.52

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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.