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Finding the Fourth Proportional to 64,844.64, 97,271.28 and 20,473.20

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Solution

The fourth proportional to 64,844.64, 97,271.28 and 20,473.20 is: 30,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,844.64 : 97,271.28 = 20,473.20 : x
  2. Step 2: Convert to fraction form
    64,844.64/97,271.28 = 20,473.20/x
  3. Step 3: Cross multiply
    64,844.64x = 97,271.28 × 20,473.20
  4. Step 4: Simplify right side
    64,844.64x = 1,991,454,369.70
  5. Step 5: Solve for x
    x = 1,991,454,369.70/64,844.64
  6. Step 6: Final answer
    x = 30,711.16

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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.