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Finding the Fourth Proportional to 85,080.84, 117,416.16 and 47,355.90

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Solution

The fourth proportional to 85,080.84, 117,416.16 and 47,355.90 is: 65,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,080.84 : 117,416.16 = 47,355.90 : x
  2. Step 2: Convert to fraction form
    85,080.84/117,416.16 = 47,355.90/x
  3. Step 3: Cross multiply
    85,080.84x = 117,416.16 × 47,355.90
  4. Step 4: Simplify right side
    85,080.84x = 5,560,347,931.34
  5. Step 5: Solve for x
    x = 5,560,347,931.34/85,080.84
  6. Step 6: Final answer
    x = 65,353.70

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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.