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Finding the Fourth Proportional to 72,129.60, 108,194.40 and 30,657.60

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Solution

The fourth proportional to 72,129.60, 108,194.40 and 30,657.60 is: 45,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,129.60 : 108,194.40 = 30,657.60 : x
  2. Step 2: Convert to fraction form
    72,129.60/108,194.40 = 30,657.60/x
  3. Step 3: Cross multiply
    72,129.60x = 108,194.40 × 30,657.60
  4. Step 4: Simplify right side
    72,129.60x = 3,316,980,637.44
  5. Step 5: Solve for x
    x = 3,316,980,637.44/72,129.60
  6. Step 6: Final answer
    x = 45,986.40

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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.