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Finding the Fourth Proportional to 51,392.32, 77,041.70 and 19,782.20

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Solution

The fourth proportional to 51,392.32, 77,041.70 and 19,782.20 is: 29,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392.32 : 77,041.70 = 19,782.20 : x
  2. Step 2: Convert to fraction form
    51,392.32/77,041.70 = 19,782.20/x
  3. Step 3: Cross multiply
    51,392.32x = 77,041.70 × 19,782.20
  4. Step 4: Simplify right side
    51,392.32x = 1,524,054,317.74
  5. Step 5: Solve for x
    x = 1,524,054,317.74/51,392.32
  6. Step 6: Final answer
    x = 29,655.29

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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.