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Finding the Fourth Proportional to 102,392.64, 141,285.60 and 57,672

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Solution

The fourth proportional to 102,392.64, 141,285.60 and 57,672 is: 79,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.64 : 141,285.60 = 57,672 : x
  2. Step 2: Convert to fraction form
    102,392.64/141,285.60 = 57,672/x
  3. Step 3: Cross multiply
    102,392.64x = 141,285.60 × 57,672
  4. Step 4: Simplify right side
    102,392.64x = 8,148,223,123.20
  5. Step 5: Solve for x
    x = 8,148,223,123.20/102,392.64
  6. Step 6: Final answer
    x = 79,578.21

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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.