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Finding the Fourth Proportional to 49,592, 74,392.32 and 12,656

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Solution

The fourth proportional to 49,592, 74,392.32 and 12,656 is: 18,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592 : 74,392.32 = 12,656 : x
  2. Step 2: Convert to fraction form
    49,592/74,392.32 = 12,656/x
  3. Step 3: Cross multiply
    49,592x = 74,392.32 × 12,656
  4. Step 4: Simplify right side
    49,592x = 941,509,201.92
  5. Step 5: Solve for x
    x = 941,509,201.92/49,592
  6. Step 6: Final answer
    x = 18,985.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.