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Finding the Fourth Proportional to 84,971.84, 117,254.72 and 47,242.88

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Solution

The fourth proportional to 84,971.84, 117,254.72 and 47,242.88 is: 65,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971.84 : 117,254.72 = 47,242.88 : x
  2. Step 2: Convert to fraction form
    84,971.84/117,254.72 = 47,242.88/x
  3. Step 3: Cross multiply
    84,971.84x = 117,254.72 × 47,242.88
  4. Step 4: Simplify right side
    84,971.84x = 5,539,450,666.39
  5. Step 5: Solve for x
    x = 5,539,450,666.39/84,971.84
  6. Step 6: Final answer
    x = 65,191.61

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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.