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Finding the Fourth Proportional to 56,162.93, 77,508 and 30,671.66

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Solution

The fourth proportional to 56,162.93, 77,508 and 30,671.66 is: 42,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,162.93 : 77,508 = 30,671.66 : x
  2. Step 2: Convert to fraction form
    56,162.93/77,508 = 30,671.66/x
  3. Step 3: Cross multiply
    56,162.93x = 77,508 × 30,671.66
  4. Step 4: Simplify right side
    56,162.93x = 2,377,299,217.05
  5. Step 5: Solve for x
    x = 2,377,299,217.05/56,162.93
  6. Step 6: Final answer
    x = 42,328.62

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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.