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Finding the Fourth Proportional to 102,264, 141,137.28 and 57,560.64

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Solution

The fourth proportional to 102,264, 141,137.28 and 57,560.64 is: 79,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 141,137.28 = 57,560.64 : x
  2. Step 2: Convert to fraction form
    102,264/141,137.28 = 57,560.64/x
  3. Step 3: Cross multiply
    102,264x = 141,137.28 × 57,560.64
  4. Step 4: Simplify right side
    102,264x = 8,123,952,164.66
  5. Step 5: Solve for x
    x = 8,123,952,164.66/102,264
  6. Step 6: Final answer
    x = 79,440.98

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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.