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Finding the Fourth Proportional to 100,708.56, 151,008 and 65,164.80

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Solution

The fourth proportional to 100,708.56, 151,008 and 65,164.80 is: 97,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.56 : 151,008 = 65,164.80 : x
  2. Step 2: Convert to fraction form
    100,708.56/151,008 = 65,164.80/x
  3. Step 3: Cross multiply
    100,708.56x = 151,008 × 65,164.80
  4. Step 4: Simplify right side
    100,708.56x = 9,840,406,118.40
  5. Step 5: Solve for x
    x = 9,840,406,118.40/100,708.56
  6. Step 6: Final answer
    x = 97,711.72

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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.