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Finding the Fourth Proportional to 42,876, 64,316.16 and 15,176.16

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Solution

The fourth proportional to 42,876, 64,316.16 and 15,176.16 is: 22,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876 : 64,316.16 = 15,176.16 : x
  2. Step 2: Convert to fraction form
    42,876/64,316.16 = 15,176.16/x
  3. Step 3: Cross multiply
    42,876x = 64,316.16 × 15,176.16
  4. Step 4: Simplify right side
    42,876x = 976,072,334.75
  5. Step 5: Solve for x
    x = 976,072,334.75/42,876
  6. Step 6: Final answer
    x = 22,765.00

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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.