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Finding the Fourth Proportional to 112,018, 168,031.08 and 37,144.69

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Solution

The fourth proportional to 112,018, 168,031.08 and 37,144.69 is: 55,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,018 : 168,031.08 = 37,144.69 : x
  2. Step 2: Convert to fraction form
    112,018/168,031.08 = 37,144.69/x
  3. Step 3: Cross multiply
    112,018x = 168,031.08 × 37,144.69
  4. Step 4: Simplify right side
    112,018x = 6,241,462,376.97
  5. Step 5: Solve for x
    x = 6,241,462,376.97/112,018
  6. Step 6: Final answer
    x = 55,718.39

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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.