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Finding the Fourth Proportional to 83,238.42, 114,869.40 and 45,512.64

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Solution

The fourth proportional to 83,238.42, 114,869.40 and 45,512.64 is: 62,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.42 : 114,869.40 = 45,512.64 : x
  2. Step 2: Convert to fraction form
    83,238.42/114,869.40 = 45,512.64/x
  3. Step 3: Cross multiply
    83,238.42x = 114,869.40 × 45,512.64
  4. Step 4: Simplify right side
    83,238.42x = 5,228,009,649.22
  5. Step 5: Solve for x
    x = 5,228,009,649.22/83,238.42
  6. Step 6: Final answer
    x = 62,807.65

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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.