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Finding the Fourth Proportional to 56,364.40, 77,782.84 and 31,213.88

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Solution

The fourth proportional to 56,364.40, 77,782.84 and 31,213.88 is: 43,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364.40 : 77,782.84 = 31,213.88 : x
  2. Step 2: Convert to fraction form
    56,364.40/77,782.84 = 31,213.88/x
  3. Step 3: Cross multiply
    56,364.40x = 77,782.84 × 31,213.88
  4. Step 4: Simplify right side
    56,364.40x = 2,427,904,233.82
  5. Step 5: Solve for x
    x = 2,427,904,233.82/56,364.40
  6. Step 6: Final answer
    x = 43,075.14

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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.