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Finding the Fourth Proportional to 43,201.40, 64,820 and 20,700.68

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Solution

The fourth proportional to 43,201.40, 64,820 and 20,700.68 is: 31,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201.40 : 64,820 = 20,700.68 : x
  2. Step 2: Convert to fraction form
    43,201.40/64,820 = 20,700.68/x
  3. Step 3: Cross multiply
    43,201.40x = 64,820 × 20,700.68
  4. Step 4: Simplify right side
    43,201.40x = 1,341,818,077.60
  5. Step 5: Solve for x
    x = 1,341,818,077.60/43,201.40
  6. Step 6: Final answer
    x = 31,059.60

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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.