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Finding the Fourth Proportional to 42,806.40, 64,209.60 and 21,811.20

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Solution

The fourth proportional to 42,806.40, 64,209.60 and 21,811.20 is: 32,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.40 : 64,209.60 = 21,811.20 : x
  2. Step 2: Convert to fraction form
    42,806.40/64,209.60 = 21,811.20/x
  3. Step 3: Cross multiply
    42,806.40x = 64,209.60 × 21,811.20
  4. Step 4: Simplify right side
    42,806.40x = 1,400,488,427.52
  5. Step 5: Solve for x
    x = 1,400,488,427.52/42,806.40
  6. Step 6: Final answer
    x = 32,716.80

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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.