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Finding the Fourth Proportional to 51,652.16, 77,507.76 and 42,992

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Solution

The fourth proportional to 51,652.16, 77,507.76 and 42,992 is: 64,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.16 : 77,507.76 = 42,992 : x
  2. Step 2: Convert to fraction form
    51,652.16/77,507.76 = 42,992/x
  3. Step 3: Cross multiply
    51,652.16x = 77,507.76 × 42,992
  4. Step 4: Simplify right side
    51,652.16x = 3,332,213,617.92
  5. Step 5: Solve for x
    x = 3,332,213,617.92/51,652.16
  6. Step 6: Final answer
    x = 64,512.57

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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.