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Finding the Fourth Proportional to 71,301.60, 106,822.80 and 43,567.20

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Solution

The fourth proportional to 71,301.60, 106,822.80 and 43,567.20 is: 65,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301.60 : 106,822.80 = 43,567.20 : x
  2. Step 2: Convert to fraction form
    71,301.60/106,822.80 = 43,567.20/x
  3. Step 3: Cross multiply
    71,301.60x = 106,822.80 × 43,567.20
  4. Step 4: Simplify right side
    71,301.60x = 4,653,970,292.16
  5. Step 5: Solve for x
    x = 4,653,970,292.16/71,301.60
  6. Step 6: Final answer
    x = 65,271.61

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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.