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Finding the Fourth Proportional to 56,571.04, 78,070.80 and 31,420

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Solution

The fourth proportional to 56,571.04, 78,070.80 and 31,420 is: 43,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,571.04 : 78,070.80 = 31,420 : x
  2. Step 2: Convert to fraction form
    56,571.04/78,070.80 = 31,420/x
  3. Step 3: Cross multiply
    56,571.04x = 78,070.80 × 31,420
  4. Step 4: Simplify right side
    56,571.04x = 2,452,984,536
  5. Step 5: Solve for x
    x = 2,452,984,536/56,571.04
  6. Step 6: Final answer
    x = 43,361.14

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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.