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Finding the Fourth Proportional to 64,409.85, 96,602.49 and 20,037.15

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Solution

The fourth proportional to 64,409.85, 96,602.49 and 20,037.15 is: 30,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,409.85 : 96,602.49 = 20,037.15 : x
  2. Step 2: Convert to fraction form
    64,409.85/96,602.49 = 20,037.15/x
  3. Step 3: Cross multiply
    64,409.85x = 96,602.49 × 20,037.15
  4. Step 4: Simplify right side
    64,409.85x = 1,935,638,582.50
  5. Step 5: Solve for x
    x = 1,935,638,582.50/64,409.85
  6. Step 6: Final answer
    x = 30,051.90

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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.