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Finding the Fourth Proportional to 64,206.80, 96,281.40 and 29,128.40

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Solution

The fourth proportional to 64,206.80, 96,281.40 and 29,128.40 is: 43,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.80 : 96,281.40 = 29,128.40 : x
  2. Step 2: Convert to fraction form
    64,206.80/96,281.40 = 29,128.40/x
  3. Step 3: Cross multiply
    64,206.80x = 96,281.40 × 29,128.40
  4. Step 4: Simplify right side
    64,206.80x = 2,804,523,131.76
  5. Step 5: Solve for x
    x = 2,804,523,131.76/64,206.80
  6. Step 6: Final answer
    x = 43,679.53

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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.