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Finding the Fourth Proportional to 83,148.39, 114,742.37 and 45,422.64

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Solution

The fourth proportional to 83,148.39, 114,742.37 and 45,422.64 is: 62,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.39 : 114,742.37 = 45,422.64 : x
  2. Step 2: Convert to fraction form
    83,148.39/114,742.37 = 45,422.64/x
  3. Step 3: Cross multiply
    83,148.39x = 114,742.37 × 45,422.64
  4. Step 4: Simplify right side
    83,148.39x = 5,211,901,478.81
  5. Step 5: Solve for x
    x = 5,211,901,478.81/83,148.39
  6. Step 6: Final answer
    x = 62,681.93

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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.