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Finding the Fourth Proportional to 84,993, 117,319.56 and 51,459

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Solution

The fourth proportional to 84,993, 117,319.56 and 51,459 is: 71,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993 : 117,319.56 = 51,459 : x
  2. Step 2: Convert to fraction form
    84,993/117,319.56 = 51,459/x
  3. Step 3: Cross multiply
    84,993x = 117,319.56 × 51,459
  4. Step 4: Simplify right side
    84,993x = 6,037,147,238.04
  5. Step 5: Solve for x
    x = 6,037,147,238.04/84,993
  6. Step 6: Final answer
    x = 71,031.11

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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.