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Finding the Fourth Proportional to 120,902.40, 181,353.60 and 64,915.20

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Solution

The fourth proportional to 120,902.40, 181,353.60 and 64,915.20 is: 97,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902.40 : 181,353.60 = 64,915.20 : x
  2. Step 2: Convert to fraction form
    120,902.40/181,353.60 = 64,915.20/x
  3. Step 3: Cross multiply
    120,902.40x = 181,353.60 × 64,915.20
  4. Step 4: Simplify right side
    120,902.40x = 11,772,605,214.72
  5. Step 5: Solve for x
    x = 11,772,605,214.72/120,902.40
  6. Step 6: Final answer
    x = 97,372.80

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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.