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Finding the Fourth Proportional to 120,912.40, 181,368.60 and 83,587.60

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Solution

The fourth proportional to 120,912.40, 181,368.60 and 83,587.60 is: 125,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912.40 : 181,368.60 = 83,587.60 : x
  2. Step 2: Convert to fraction form
    120,912.40/181,368.60 = 83,587.60/x
  3. Step 3: Cross multiply
    120,912.40x = 181,368.60 × 83,587.60
  4. Step 4: Simplify right side
    120,912.40x = 15,160,165,989.36
  5. Step 5: Solve for x
    x = 15,160,165,989.36/120,912.40
  6. Step 6: Final answer
    x = 125,381.40

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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.