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Finding the Fourth Proportional to 65,213.84, 97,807.80 and 31,919.60

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Solution

The fourth proportional to 65,213.84, 97,807.80 and 31,919.60 is: 47,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.84 : 97,807.80 = 31,919.60 : x
  2. Step 2: Convert to fraction form
    65,213.84/97,807.80 = 31,919.60/x
  3. Step 3: Cross multiply
    65,213.84x = 97,807.80 × 31,919.60
  4. Step 4: Simplify right side
    65,213.84x = 3,121,985,852.88
  5. Step 5: Solve for x
    x = 3,121,985,852.88/65,213.84
  6. Step 6: Final answer
    x = 47,873.06

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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.