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Finding the Fourth Proportional to 83,666.85, 115,427.40 and 47,837.64

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Solution

The fourth proportional to 83,666.85, 115,427.40 and 47,837.64 is: 65,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.85 : 115,427.40 = 47,837.64 : x
  2. Step 2: Convert to fraction form
    83,666.85/115,427.40 = 47,837.64/x
  3. Step 3: Cross multiply
    83,666.85x = 115,427.40 × 47,837.64
  4. Step 4: Simplify right side
    83,666.85x = 5,521,774,407.34
  5. Step 5: Solve for x
    x = 5,521,774,407.34/83,666.85
  6. Step 6: Final answer
    x = 65,997.16

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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.