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Finding the Fourth Proportional to 56,615.58, 78,130.71 and 31,464.54

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Solution

The fourth proportional to 56,615.58, 78,130.71 and 31,464.54 is: 43,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,615.58 : 78,130.71 = 31,464.54 : x
  2. Step 2: Convert to fraction form
    56,615.58/78,130.71 = 31,464.54/x
  3. Step 3: Cross multiply
    56,615.58x = 78,130.71 × 31,464.54
  4. Step 4: Simplify right side
    56,615.58x = 2,458,346,850.02
  5. Step 5: Solve for x
    x = 2,458,346,850.02/56,615.58
  6. Step 6: Final answer
    x = 43,421.74

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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.