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Finding the Fourth Proportional to 145,795.85, 218,760.41 and 65,855.19

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Solution

The fourth proportional to 145,795.85, 218,760.41 and 65,855.19 is: 98,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,795.85 : 218,760.41 = 65,855.19 : x
  2. Step 2: Convert to fraction form
    145,795.85/218,760.41 = 65,855.19/x
  3. Step 3: Cross multiply
    145,795.85x = 218,760.41 × 65,855.19
  4. Step 4: Simplify right side
    145,795.85x = 14,406,508,365.03
  5. Step 5: Solve for x
    x = 14,406,508,365.03/145,795.85
  6. Step 6: Final answer
    x = 98,812.88

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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.