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Finding the Fourth Proportional to 64,774.90, 97,153.12 and 20,400.50

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Solution

The fourth proportional to 64,774.90, 97,153.12 and 20,400.50 is: 30,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,774.90 : 97,153.12 = 20,400.50 : x
  2. Step 2: Convert to fraction form
    64,774.90/97,153.12 = 20,400.50/x
  3. Step 3: Cross multiply
    64,774.90x = 97,153.12 × 20,400.50
  4. Step 4: Simplify right side
    64,774.90x = 1,981,972,224.56
  5. Step 5: Solve for x
    x = 1,981,972,224.56/64,774.90
  6. Step 6: Final answer
    x = 30,597.84

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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.