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Finding the Fourth Proportional to 120,783.60, 180,829.80 and 120,783.60

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Solution

The fourth proportional to 120,783.60, 180,829.80 and 120,783.60 is: 180,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.60 : 180,829.80 = 120,783.60 : x
  2. Step 2: Convert to fraction form
    120,783.60/180,829.80 = 120,783.60/x
  3. Step 3: Cross multiply
    120,783.60x = 180,829.80 × 120,783.60
  4. Step 4: Simplify right side
    120,783.60x = 21,841,274,231.28
  5. Step 5: Solve for x
    x = 21,841,274,231.28/120,783.60
  6. Step 6: Final answer
    x = 180,829.80

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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.