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Finding the Fourth Proportional to 56,363.78, 77,782.02 and 30,870.20

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Solution

The fourth proportional to 56,363.78, 77,782.02 and 30,870.20 is: 42,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,363.78 : 77,782.02 = 30,870.20 : x
  2. Step 2: Convert to fraction form
    56,363.78/77,782.02 = 30,870.20/x
  3. Step 3: Cross multiply
    56,363.78x = 77,782.02 × 30,870.20
  4. Step 4: Simplify right side
    56,363.78x = 2,401,146,513.80
  5. Step 5: Solve for x
    x = 2,401,146,513.80/56,363.78
  6. Step 6: Final answer
    x = 42,600.88

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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.