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Finding the Fourth Proportional to 56,503.68, 77,977.44 and 31,353.36

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Solution

The fourth proportional to 56,503.68, 77,977.44 and 31,353.36 is: 43,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.68 : 77,977.44 = 31,353.36 : x
  2. Step 2: Convert to fraction form
    56,503.68/77,977.44 = 31,353.36/x
  3. Step 3: Cross multiply
    56,503.68x = 77,977.44 × 31,353.36
  4. Step 4: Simplify right side
    56,503.68x = 2,444,854,748.20
  5. Step 5: Solve for x
    x = 2,444,854,748.20/56,503.68
  6. Step 6: Final answer
    x = 43,268.95

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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.