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Finding the Fourth Proportional to 98,114.40, 147,171.60 and 51,381.60

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Solution

The fourth proportional to 98,114.40, 147,171.60 and 51,381.60 is: 77,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.40 : 147,171.60 = 51,381.60 : x
  2. Step 2: Convert to fraction form
    98,114.40/147,171.60 = 51,381.60/x
  3. Step 3: Cross multiply
    98,114.40x = 147,171.60 × 51,381.60
  4. Step 4: Simplify right side
    98,114.40x = 7,561,912,282.56
  5. Step 5: Solve for x
    x = 7,561,912,282.56/98,114.40
  6. Step 6: Final answer
    x = 77,072.40

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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.