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Finding the Fourth Proportional to 56,143.68, 77,478.12 and 30,993

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Solution

The fourth proportional to 56,143.68, 77,478.12 and 30,993 is: 42,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.68 : 77,478.12 = 30,993 : x
  2. Step 2: Convert to fraction form
    56,143.68/77,478.12 = 30,993/x
  3. Step 3: Cross multiply
    56,143.68x = 77,478.12 × 30,993
  4. Step 4: Simplify right side
    56,143.68x = 2,401,279,373.16
  5. Step 5: Solve for x
    x = 2,401,279,373.16/56,143.68
  6. Step 6: Final answer
    x = 42,770.25

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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.