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Finding the Fourth Proportional to 125,353.72, 172,995.78 and 82,838.44

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Solution

The fourth proportional to 125,353.72, 172,995.78 and 82,838.44 is: 114,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,353.72 : 172,995.78 = 82,838.44 : x
  2. Step 2: Convert to fraction form
    125,353.72/172,995.78 = 82,838.44/x
  3. Step 3: Cross multiply
    125,353.72x = 172,995.78 × 82,838.44
  4. Step 4: Simplify right side
    125,353.72x = 14,330,700,541.78
  5. Step 5: Solve for x
    x = 14,330,700,541.78/125,353.72
  6. Step 6: Final answer
    x = 114,322.10

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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.