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Finding the Fourth Proportional to 56,425, 77,866.51 and 31,274.50

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Solution

The fourth proportional to 56,425, 77,866.51 and 31,274.50 is: 43,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425 : 77,866.51 = 31,274.50 : x
  2. Step 2: Convert to fraction form
    56,425/77,866.51 = 31,274.50/x
  3. Step 3: Cross multiply
    56,425x = 77,866.51 × 31,274.50
  4. Step 4: Simplify right side
    56,425x = 2,435,236,206.09
  5. Step 5: Solve for x
    x = 2,435,236,206.09/56,425
  6. Step 6: Final answer
    x = 43,158.82

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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.