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Finding the Fourth Proportional to 72,709.60, 109,071.60 and 25,317.40

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Solution

The fourth proportional to 72,709.60, 109,071.60 and 25,317.40 is: 37,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.60 : 109,071.60 = 25,317.40 : x
  2. Step 2: Convert to fraction form
    72,709.60/109,071.60 = 25,317.40/x
  3. Step 3: Cross multiply
    72,709.60x = 109,071.60 × 25,317.40
  4. Step 4: Simplify right side
    72,709.60x = 2,761,409,325.84
  5. Step 5: Solve for x
    x = 2,761,409,325.84/72,709.60
  6. Step 6: Final answer
    x = 37,978.61

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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.