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Finding the Fourth Proportional to 64,847.52, 97,276.41 and 20,477.70

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Solution

The fourth proportional to 64,847.52, 97,276.41 and 20,477.70 is: 30,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,847.52 : 97,276.41 = 20,477.70 : x
  2. Step 2: Convert to fraction form
    64,847.52/97,276.41 = 20,477.70/x
  3. Step 3: Cross multiply
    64,847.52x = 97,276.41 × 20,477.70
  4. Step 4: Simplify right side
    64,847.52x = 1,991,997,141.06
  5. Step 5: Solve for x
    x = 1,991,997,141.06/64,847.52
  6. Step 6: Final answer
    x = 30,718.17

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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.