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Finding the Fourth Proportional to 121,602.40, 182,403.60 and 83,548.60

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Solution

The fourth proportional to 121,602.40, 182,403.60 and 83,548.60 is: 125,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,602.40 : 182,403.60 = 83,548.60 : x
  2. Step 2: Convert to fraction form
    121,602.40/182,403.60 = 83,548.60/x
  3. Step 3: Cross multiply
    121,602.40x = 182,403.60 × 83,548.60
  4. Step 4: Simplify right side
    121,602.40x = 15,239,565,414.96
  5. Step 5: Solve for x
    x = 15,239,565,414.96/121,602.40
  6. Step 6: Final answer
    x = 125,322.90

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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.