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Finding the Fourth Proportional to 75,322.64, 103,948.52 and 45,112.88

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Solution

The fourth proportional to 75,322.64, 103,948.52 and 45,112.88 is: 62,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.64 : 103,948.52 = 45,112.88 : x
  2. Step 2: Convert to fraction form
    75,322.64/103,948.52 = 45,112.88/x
  3. Step 3: Cross multiply
    75,322.64x = 103,948.52 × 45,112.88
  4. Step 4: Simplify right side
    75,322.64x = 4,689,417,108.94
  5. Step 5: Solve for x
    x = 4,689,417,108.94/75,322.64
  6. Step 6: Final answer
    x = 62,257.74

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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.