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Finding the Fourth Proportional to 37,199, 51,334.62 and 20,432

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Solution

The fourth proportional to 37,199, 51,334.62 and 20,432 is: 28,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,199 : 51,334.62 = 20,432 : x
  2. Step 2: Convert to fraction form
    37,199/51,334.62 = 20,432/x
  3. Step 3: Cross multiply
    37,199x = 51,334.62 × 20,432
  4. Step 4: Simplify right side
    37,199x = 1,048,868,955.84
  5. Step 5: Solve for x
    x = 1,048,868,955.84/37,199
  6. Step 6: Final answer
    x = 28,196.16

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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.