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Finding the Fourth Proportional to 65,181.60, 97,966.80 and 64,015.20

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Solution

The fourth proportional to 65,181.60, 97,966.80 and 64,015.20 is: 96,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,181.60 : 97,966.80 = 64,015.20 : x
  2. Step 2: Convert to fraction form
    65,181.60/97,966.80 = 64,015.20/x
  3. Step 3: Cross multiply
    65,181.60x = 97,966.80 × 64,015.20
  4. Step 4: Simplify right side
    65,181.60x = 6,271,364,295.36
  5. Step 5: Solve for x
    x = 6,271,364,295.36/65,181.60
  6. Step 6: Final answer
    x = 96,213.72

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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.