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Finding the Fourth Proportional to 83,145, 114,742.62 and 45,421.68

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Solution

The fourth proportional to 83,145, 114,742.62 and 45,421.68 is: 62,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145 : 114,742.62 = 45,421.68 : x
  2. Step 2: Convert to fraction form
    83,145/114,742.62 = 45,421.68/x
  3. Step 3: Cross multiply
    83,145x = 114,742.62 × 45,421.68
  4. Step 4: Simplify right side
    83,145x = 5,211,802,568.00
  5. Step 5: Solve for x
    x = 5,211,802,568.00/83,145
  6. Step 6: Final answer
    x = 62,683.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.