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Finding the Fourth Proportional to 56,507.92, 77,981.91 and 31,016.67

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Solution

The fourth proportional to 56,507.92, 77,981.91 and 31,016.67 is: 42,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,507.92 : 77,981.91 = 31,016.67 : x
  2. Step 2: Convert to fraction form
    56,507.92/77,981.91 = 31,016.67/x
  3. Step 3: Cross multiply
    56,507.92x = 77,981.91 × 31,016.67
  4. Step 4: Simplify right side
    56,507.92x = 2,418,739,168.44
  5. Step 5: Solve for x
    x = 2,418,739,168.44/56,507.92
  6. Step 6: Final answer
    x = 42,803.54

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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.