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Finding the Fourth Proportional to 65,116.40, 97,674.60 and 51,119.60

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Solution

The fourth proportional to 65,116.40, 97,674.60 and 51,119.60 is: 76,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.40 : 97,674.60 = 51,119.60 : x
  2. Step 2: Convert to fraction form
    65,116.40/97,674.60 = 51,119.60/x
  3. Step 3: Cross multiply
    65,116.40x = 97,674.60 × 51,119.60
  4. Step 4: Simplify right side
    65,116.40x = 4,993,086,482.16
  5. Step 5: Solve for x
    x = 4,993,086,482.16/65,116.40
  6. Step 6: Final answer
    x = 76,679.40

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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.